发布求助
文献互助 智能选刊 最新文献

Banach Journal of Mathematical Analysis最新文献

筛选
英文 中文
On embeddings in the intersection $$Xcap L_{infty }$$ 论交集 $$Xcap L_{infty }$$ 中的嵌入
IF 1.2 2区 数学
Banach Journal of Mathematical Analysis Pub Date : 2024-09-16 DOI: 10.1007/s43037-024-00380-8
Sergey V. Astashkin
{"title":"On embeddings in the intersection $$Xcap L_{infty }$$","authors":"Sergey V. Astashkin","doi":"10.1007/s43037-024-00380-8","DOIUrl":"https://doi.org/10.1007/s43037-024-00380-8","url":null,"abstract":"<p>Let <i>X</i> be a separable rearrangement invariant space on <span>((0,infty ))</span>. If the intersection <span>((X cap L_{infty })(0,infty ))</span> contains a complemented subspace isomorphic to <span>({ell }_2)</span>, then <i>X</i> contains a complemented sublattice lattice-isomorphic to <span>({ell }_2)</span>. Moreover, we prove that the space <span>((X+L_{infty })(0,infty ))</span> cannot be isomorphically embedded into <span>((X cap L_{infty })(0,infty ))</span> as a complemented subspace provided that <i>X</i> has nontrivial Rademacher cotype.</p>","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":"31 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142260217","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
2-Rotund norms for unconditional and symmetric sequence spaces 2-无条件序列空间和对称序列空间的罗顿规范
IF 1.2 2区 数学
Banach Journal of Mathematical Analysis Pub Date : 2024-09-14 DOI: 10.1007/s43037-024-00379-1
Stephen Dilworth, Denka Kutzarova, Pavlos Motakis
{"title":"2-Rotund norms for unconditional and symmetric sequence spaces","authors":"Stephen Dilworth, Denka Kutzarova, Pavlos Motakis","doi":"10.1007/s43037-024-00379-1","DOIUrl":"https://doi.org/10.1007/s43037-024-00379-1","url":null,"abstract":"<p>A reflexive Banach space with an unconditional basis admits an equivalent 1-unconditional 2<i>R</i> norm and embeds into a reflexive space with a 1-symmetric 2<i>R</i> norm. Partial results on 1-symmetric 2<i>R</i> renormings of spaces with a symmetric basis are obtained.</p>","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":"21 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142269550","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Approximation of invariant measures of dissipative dynamical systems on thin domains 薄域上耗散动力系统不变量的逼近
IF 1.2 2区 数学
Banach Journal of Mathematical Analysis Pub Date : 2024-09-11 DOI: 10.1007/s43037-024-00384-4
Dingshi Li, Ran Li
{"title":"Approximation of invariant measures of dissipative dynamical systems on thin domains","authors":"Dingshi Li, Ran Li","doi":"10.1007/s43037-024-00384-4","DOIUrl":"https://doi.org/10.1007/s43037-024-00384-4","url":null,"abstract":"<p>An abstract method is presented to show that upper semicontinuity of invariant measures of dissipative dynamical systems on thin domains. The abstract method presented can be used to many physical systems. As an example, we consider reaction-diffusion equations on thin domains. To this end, we first show the existence of invariant measures of the equations in a bounded domain in <span>(mathbb {R}^{n+1})</span> which can be viewed as a perturbation of a bounded domain in <span>(mathbb {R}^n)</span>. We then prove that any limit of invariant measures of the perturbed systems must be an invariant measure of the limiting system when the thin domains collapses.</p>","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":"10 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205702","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Compactness of averaging operators on Banach function spaces 巴拿赫函数空间上平均算子的紧凑性
IF 1.2 2区 数学
Banach Journal of Mathematical Analysis Pub Date : 2024-09-11 DOI: 10.1007/s43037-024-00383-5
Katsuhisa Koshino
{"title":"Compactness of averaging operators on Banach function spaces","authors":"Katsuhisa Koshino","doi":"10.1007/s43037-024-00383-5","DOIUrl":"https://doi.org/10.1007/s43037-024-00383-5","url":null,"abstract":"<p>Let <i>X</i> be a Borel metric measure space such that every closed ball is of positive and finite measure. In this paper, we give a sufficient condition and a necessary condition for averaging operators on a Banach function space <i>E</i>(<i>X</i>) on <i>X</i> to be compact. As a corollary, we show that the averaging operators on the Lorentz space <span>(L^{p,q}(X))</span> of <i>X</i> are compact if and only if <i>X</i> is bounded, in the case where <i>X</i> is a doubling and Borel-regular metric measure space with some continuity between metric and measure.</p>","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":"149 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205701","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Generalized interpolation for type 1 subdiagonal algebras 第 1 类对角线子代数的广义内插法
IF 1.2 2区 数学
Banach Journal of Mathematical Analysis Pub Date : 2024-09-05 DOI: 10.1007/s43037-024-00381-7
Xia Jiao, Guoxing Ji
{"title":"Generalized interpolation for type 1 subdiagonal algebras","authors":"Xia Jiao, Guoxing Ji","doi":"10.1007/s43037-024-00381-7","DOIUrl":"https://doi.org/10.1007/s43037-024-00381-7","url":null,"abstract":"<p>Let <span>({mathfrak {A}})</span> be a maximal subdiagonal algebra with diagonal <span>({mathfrak {D}})</span> in a <span>(sigma )</span>-finite von Neumann algebra <span>({mathcal {M}})</span> with respect to a faithful normal conditional expectation <span>(Phi )</span>. We firstly give a type decomposition of an invariant subspace <span>({mathfrak {M}})</span> of <span>({mathfrak {A}})</span> in the acting Hilbert space. We then revisit certain useful properties of type 1 subdiagonal algebras. It is shown that a two-sided invariant subspace <span>({mathfrak {M}})</span> in the noncommutative <span>(H^2)</span> space has the form <span>({mathfrak {M}}=oplus _{nge 1}^{col}W_nH^2)</span> for a family of partial isometries <span>({W_n:nge 1})</span> satisfying <span>( W_n^*W_m=0)</span> when <span>(nnot =m)</span>, <span>(W_n^*W_nin {mathfrak {D}})</span> and <span>(sum _{nge 1} W_nW_n^*=I)</span> if <span>({mathfrak {D}})</span> is a factor. Furthermore, we give a noncommutative version of the Sarason’s generalized interpolation theorem for such a two-sided invariant subspace of a type 1 subdiagonal algebra.</p>","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":"5 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205703","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Convergence and high order of approximation by Steklov sampling operators 斯特克洛夫采样算子的收敛性和高阶近似性
IF 1.2 2区 数学
Banach Journal of Mathematical Analysis Pub Date : 2024-08-30 DOI: 10.1007/s43037-024-00377-3
Danilo Costarelli
{"title":"Convergence and high order of approximation by Steklov sampling operators","authors":"Danilo Costarelli","doi":"10.1007/s43037-024-00377-3","DOIUrl":"https://doi.org/10.1007/s43037-024-00377-3","url":null,"abstract":"<p>In this paper we introduce a new class of sampling-type operators, named Steklov sampling operators. The idea is to consider a sampling series based on a kernel function that is a discrete approximate identity, and which constitutes a reconstruction process of a given signal <i>f</i>, based on a family of sample values which are Steklov integrals of order <i>r</i> evaluated at the nodes <i>k</i>/<i>w</i>, <span>(k in {mathbb {Z}})</span>, <span>(w&gt;0)</span>. The convergence properties of the introduced sampling operators in continuous functions spaces and in the <span>(L^p)</span>-setting have been studied. Moreover, the main properties of the Steklov-type functions have been exploited in order to establish results concerning the high order of approximation. Such results have been obtained in a quantitative version thanks to the use of the well-known modulus of smoothness of the approximated functions, and assuming suitable Strang-Fix type conditions, which are very typical assumptions in applications involving Fourier and Harmonic analysis. Concerning the quantitative estimates, we proposed two different approaches; the first one holds in the case of Steklov sampling operators defined with kernels with compact support, its proof is substantially based on the application of the generalized Minkowski inequality, and it is valid with respect to the <i>p</i>-norm, with <span>(1 le p le +infty )</span>. In the second case, the restriction on the support of the kernel is removed and the corresponding estimates are valid only for <span>(1 &lt; ple +infty )</span>. Here, the key point of the proof is the application of the well-known Hardy–Littlewood maximal inequality. Finally, a deep comparison between the proposed Steklov sampling series and the already existing sampling-type operators has been given, in order to show the effectiveness of the proposed constructive method of approximation. Examples of kernel functions satisfying the required assumptions have been provided.</p>","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":"28 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205704","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The approximation and portray of stochastic Poincaré maps for stochastic slow-fast systems in Hilbert spaces 希尔伯特空间中随机慢速系统的随机波因卡雷映射的近似与刻画
IF 1.2 2区 数学
Banach Journal of Mathematical Analysis Pub Date : 2024-08-28 DOI: 10.1007/s43037-024-00376-4
Min Yang, Guanggan Chen
{"title":"The approximation and portray of stochastic Poincaré maps for stochastic slow-fast systems in Hilbert spaces","authors":"Min Yang, Guanggan Chen","doi":"10.1007/s43037-024-00376-4","DOIUrl":"https://doi.org/10.1007/s43037-024-00376-4","url":null,"abstract":"<p>This work is concerned with the stochastic slow-fast evolutionary systems with white noises in Hilbert spaces. We first establish the stochastic Poincaré maps of the stochastic slow-fast systems in the neighborhood of the periodic orbit for the approximate systems with colored noises in distribution. Further employing the random slow manifold theory, we prove that the stochastic Poincaré maps of the stochastic slow-fast systems converge to the same fixed point of the stochastic Poincaré maps for the approximate systems in distribution as the colored noise parameter tends to zero. Moreover, we apply the moving orthonormal system to construct the exact portray of the stochastic Poincaré maps for the stochastic slow-fast systems in distribution. A concrete example is provided to illustrate the stochastic Poincaré maps.</p>","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":"13 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205705","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Schatten class properties and essential norm estimates of operators on Bergman spaces induced by regular weights of annulus 环形规则权重诱导的伯格曼空间上算子的沙腾类性质和基本规范估计值
IF 1.2 2区 数学
Banach Journal of Mathematical Analysis Pub Date : 2024-08-22 DOI: 10.1007/s43037-024-00378-2
Wenjie Huang, Long Huang, Xiaofeng Wang
{"title":"Schatten class properties and essential norm estimates of operators on Bergman spaces induced by regular weights of annulus","authors":"Wenjie Huang, Long Huang, Xiaofeng Wang","doi":"10.1007/s43037-024-00378-2","DOIUrl":"https://doi.org/10.1007/s43037-024-00378-2","url":null,"abstract":"<p>In this paper we first characterize the Schatten <i>p</i>-class and Schatten <i>h</i>-class Hankel and Toeplitz operators on Bergman spaces <span>(A_{omega _{1,2}}^2({mathbb {M}}))</span> induced by regular weights <span>(omega _{1,2})</span> of the annulus <span>({mathbb {M}})</span> with full range <span>(pin (0,infty ))</span> and <i>h</i> being a continuous increasing convex function on <span>((0,infty ))</span>. As an application, we then establish essential norm estimates for bounded Hankel operators from Bergman spaces <span>(A_{omega _{1,2}}^p({mathbb {M}}))</span> to Lebesgue spaces <span>(L_{omega _{1,2}}^q({mathbb {M}}))</span> for all possible <span>(p,qin (1, infty ))</span>. Moreover, Schatten <i>p</i>-class properties and essential norm estimates for Hankel operators on Bergman spaces over the unit disk <span>({mathbb {D}})</span> induced by regular weights are also obtained, which can be viewed as a further application of boundedness and compactness of Hankel operators proved by Hu and Jin (J Geom Anal 29:3494–3519, 2019). To establish these desired characterizations, the diagonal and off-diagonal decompositions, various careful estimates for reproducing kernels, Berezin transforms, Carleson measures and the solution of <span>({bar{partial }})</span>-equations are crucial tools in our proofs.</p>","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":"57 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205707","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Almost diagonalization theorem and global wave front sets in ultradifferentiable classes 几乎对角定理和超微分类中的全局波前集合
IF 1.2 2区 数学
Banach Journal of Mathematical Analysis Pub Date : 2024-08-14 DOI: 10.1007/s43037-024-00374-6
Vicente Asensio
{"title":"Almost diagonalization theorem and global wave front sets in ultradifferentiable classes","authors":"Vicente Asensio","doi":"10.1007/s43037-024-00374-6","DOIUrl":"https://doi.org/10.1007/s43037-024-00374-6","url":null,"abstract":"<p>The main aim of this paper is to prove that the wave front set of <span>(a^w(x,D)u)</span>, i.e. the action of the Weyl operator with symbol <i>a</i> on <i>u</i>, is contained in the wave front set of <i>u</i> and in the conic support of <i>a</i> in spaces of <span>(omega )</span>-tempered ultradistributions in the Beurling setting for adequate symbols of ultradifferentiable type. These symbols are not restricted to have order zero. To do so, we prove an almost diagonalization theorem on Weyl operators. Furthermore, an almost diagonalization theorem involving time-frequency analysis leads to additional applications, such as invertibility of pseudodifferential operators or boundedness of them in modulation spaces with exponential growth.</p>","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":"7 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205709","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Isomorphism of some new Kadison–Singer algebras 一些新的卡迪森-辛格代数的同构性
IF 1.2 2区 数学
Banach Journal of Mathematical Analysis Pub Date : 2024-08-13 DOI: 10.1007/s43037-024-00370-w
Qian Yan, Zhujun Yang, Wei Yuan, Wenming Wu
{"title":"Isomorphism of some new Kadison–Singer algebras","authors":"Qian Yan, Zhujun Yang, Wei Yuan, Wenming Wu","doi":"10.1007/s43037-024-00370-w","DOIUrl":"https://doi.org/10.1007/s43037-024-00370-w","url":null,"abstract":"<p>Some new classes of Kadison-Singer lattices (KS-lattices) and Kadison-Singer algebras (KS-algebras) are constructed. These KS-lattices are determined by a given KS-lattice, some discrete nest of projections and one special projection. Some quantities for these lattices are used to classify these KS-algebras. It is shown that these KS-algebras are isometrically isomorphic if and only if they are unitarily equivalent if and only if they have the same quantities.</p>","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":"1 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205706","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信