发布求助
文献互助 智能选刊 最新文献

Annals of Functional Analysis最新文献

筛选
英文 中文
Block dual Toeplitz operators on the orthogonal complement of the Dirichlet space 迪里希勒空间正交补集上的整块对偶托普利兹算子
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-03-11 DOI: 10.1007/s43034-024-00329-w
Chunxu Xu, Jianxiang Dong, Tao Yu
{"title":"Block dual Toeplitz operators on the orthogonal complement of the Dirichlet space","authors":"Chunxu Xu, Jianxiang Dong, Tao Yu","doi":"10.1007/s43034-024-00329-w","DOIUrl":"https://doi.org/10.1007/s43034-024-00329-w","url":null,"abstract":"<p>We give some characterizations of block dual Toeplitz operators acting on the orthogonal complement of the Dirichlet space. We characterized the compactness of the finite sum of block dual Toeplitz products. Commuting block dual Toeplitz operators and quasinormal block dual Toeplitz operators are also considered.</p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140129123","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Some new weighted weak-type iterated and bilinear modified Hardy inequalities 一些新的加权弱型迭代和双线性修正哈代不等式
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-03-02 DOI: 10.1007/s43034-024-00327-y
{"title":"Some new weighted weak-type iterated and bilinear modified Hardy inequalities","authors":"","doi":"10.1007/s43034-024-00327-y","DOIUrl":"https://doi.org/10.1007/s43034-024-00327-y","url":null,"abstract":"<h3>Abstract</h3> <p>We characterize the good weights for some weighted weak-type iterated and bilinear modified Hardy inequalities to hold.</p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140019097","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Common properties of a and b satisfying $$ab^n = b^{n+1}$$ and $$ba^n = a^{n+1}$$ in Banach algebras 巴拿赫代数中满足 $ab^n = b^{n+1}$$ 和 $ba^n = a^{n+1}$$ 的 a 和 b 的共同性质
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-02-27 DOI: 10.1007/s43034-024-00328-x
Fei Peng, Xiaoxiang Zhang
{"title":"Common properties of a and b satisfying $$ab^n = b^{n+1}$$ and $$ba^n = a^{n+1}$$ in Banach algebras","authors":"Fei Peng, Xiaoxiang Zhang","doi":"10.1007/s43034-024-00328-x","DOIUrl":"https://doi.org/10.1007/s43034-024-00328-x","url":null,"abstract":"<p>This paper describes the common properties of elements <i>a</i> and <i>b</i> satisfying <span>(ab^n = b^{n + 1})</span> and <span>(ba^n = a^{n + 1})</span> in the settings of Banach algebras, rings and operator algebras from the viewpoint of generalized inverses and spectral theory, where <i>n</i> is a positive integer. As applications, we show that if </p><span>$$begin{aligned} M_0 = begin{pmatrix} T &amp;{} 0 0 &amp;{} N_0 end{pmatrix}, M_1 = begin{pmatrix} T &amp;{} S 0 &amp;{} N_1 end{pmatrix} text {and} M_2 = begin{pmatrix} T &amp;{} 0 W &amp;{} N_2 end{pmatrix} end{aligned}$$</span><p>are triangular operator matrices acting on the Banach space <span>(X oplus X)</span> such that <span>(N_0, N_1)</span> and <span>(N_2)</span> are nilpotent, then many subsets of the spectrum of <span>(M_0)</span> are the same with those of <span>(M_1)</span> and <span>(M_2.)</span> Moreover, we improve some recent extensions of Jacobson’s lemma and Cline’s formula for the Drazin inverse, generalized Drazin inverse and generalized Drazin–Riesz inverse.</p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140010082","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Two weight estimates for $$L^{r}$$ -Hörmander singular integral operators and rough singular integral operators with matrix weights 带矩阵权重的 $$L^{r}$$ - 赫尔曼德奇异积分算子和粗糙奇异积分算子的两个权重估计值
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-02-27 DOI: 10.1007/s43034-024-00326-z
Yongming Wen, Wenting Hu, Fuli Ku
{"title":"Two weight estimates for $$L^{r}$$ -Hörmander singular integral operators and rough singular integral operators with matrix weights","authors":"Yongming Wen, Wenting Hu, Fuli Ku","doi":"10.1007/s43034-024-00326-z","DOIUrl":"https://doi.org/10.1007/s43034-024-00326-z","url":null,"abstract":"<p>In this paper, we give new bump conditions for two matrix weight inequalities of <span>(L^{r})</span>-Hörmander singular integral operators and rough singular integral operators, which are new even in the scalar cases. As applications, we obtain quantitative one weight inequalities for rough singular integral operators.</p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140010083","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Making more approximate oblique dual frame pairs 制作更多近似斜双框对
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-02-25 DOI: 10.1007/s43034-024-00325-0
Yun-Zhang Li, Li-Juan Wu
{"title":"Making more approximate oblique dual frame pairs","authors":"Yun-Zhang Li, Li-Juan Wu","doi":"10.1007/s43034-024-00325-0","DOIUrl":"https://doi.org/10.1007/s43034-024-00325-0","url":null,"abstract":"<p>The concept of approximate oblique dual frame was introduced by Díaz, Heineken and Morillas. It is more general than traditional dual frame, oblique dual frame, and approximate dual frame. This paper addresses constructing more approximate oblique dual frame pairs starting from one given oblique dual frame pair. Using “analysis and synthesis operator”, “portrait”, and “gap” perturbation techniques, we present several sufficient conditions for constructing approximate oblique dual frame pairs under the general Hilbert space setting. As an application, we then focus on constructing approximate oblique dual frame pairs in shift-invariant subspaces of <span>(L^{2}(mathbb R))</span>.</p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139969146","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Composition operators on weighted Fock spaces induced by $$A_{infty }$$ -type weights 由 $$A_{infty }$ 类权重诱导的加权 Fock 空间上的合成算子
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-02-23 DOI: 10.1007/s43034-024-00324-1
Jiale Chen
{"title":"Composition operators on weighted Fock spaces induced by $$A_{infty }$$ -type weights","authors":"Jiale Chen","doi":"10.1007/s43034-024-00324-1","DOIUrl":"https://doi.org/10.1007/s43034-024-00324-1","url":null,"abstract":"<p>In this paper, we study the composition operators <span>(C_{varphi })</span> acting on the weighted Fock spaces <span>(F^p_{alpha ,w})</span>, where <i>w</i> is a weight satisfying some restricted <span>(A_{infty })</span>-conditions. We first characterize the boundedness and compactness of the composition operators <span>(C_{varphi }:F^p_{alpha ,w}rightarrow F^q_{beta ,v})</span> for all <span>(0&lt;p,q&lt;infty)</span> in terms of certain Berezin type integral transforms. A new condition for the bounded embedding <span>(I_d:F^p_{alpha ,w}rightarrow L^q(mathbb {C},mu ))</span> in the case <span>(p&gt;q)</span> is also obtained. Then, in the case that <span>(w(z)=(1+|z|)^{mp})</span> for <span>(min mathbb {R})</span>, using some Taylor coefficient estimates, we establish an upper bound for the approximation numbers of composition operators acting on <span>(F^p_{alpha ,w})</span>.</p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139953062","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
p-Compactness of Bloch maps 布洛赫映射的 p-紧密性
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-02-21 DOI: 10.1007/s43034-024-00321-4
A. Jiménez-Vargas, D. Ruiz-Casternado
{"title":"p-Compactness of Bloch maps","authors":"A. Jiménez-Vargas, D. Ruiz-Casternado","doi":"10.1007/s43034-024-00321-4","DOIUrl":"https://doi.org/10.1007/s43034-024-00321-4","url":null,"abstract":"<p>Influenced by the concept of a <i>p</i>-compact operator due to Sinha and Karn (Stud Math 150(1): 17–33, 2002), we introduce <i>p</i>-compact Bloch maps of the open unit disk <span>(mathbb {D}subseteq mathbb {C})</span> to a complex Banach space <i>X</i>, and obtain its most outstanding properties: surjective Banach ideal property, Möbius invariance, linearisation on the Bloch-free Banach space over <span>(mathbb {D})</span>, inclusion properties, factorisation of their derivatives, and transposition on the normalized Bloch space. We also present right <i>p</i>-nuclear Bloch maps of <span>(mathbb {D})</span> to <i>X</i> and study its relation with <i>p</i>-compact Bloch maps.</p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139925084","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Cyclic vectors in Fock-type spaces in multi-variable case 多变量情况下 Fock 型空间中的循环向量
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-02-19 DOI: 10.1007/s43034-024-00323-2
Hansong Huang, Kou Hei Izuchi
{"title":"Cyclic vectors in Fock-type spaces in multi-variable case","authors":"Hansong Huang, Kou Hei Izuchi","doi":"10.1007/s43034-024-00323-2","DOIUrl":"https://doi.org/10.1007/s43034-024-00323-2","url":null,"abstract":"<p>This manuscript concerns with cyclic vectors in the Fock-type spaces <span>({L^{p}_{a}}(mathbb C^d,s,alpha ))</span> of multi-variable cases, with positive parameters <span>(s,alpha )</span> and <span>(pge 1)</span>. The one-variable case has been settled by the authors. Here, it is shown that for a positive number <span>(snot in mathbb {N})</span>, a function <i>f</i> in the Fock-type space <span>({L^{p}_{a}}(mathbb C^d,s,alpha ))</span> is cyclic if and only if <i>f</i> is non-vanishing. However, the case of <i>s</i> being a positive integer turns out to be more complicated. Different techniques and methods are developed in multi-variable cases for a complete characterization of cyclic vectors in <span>({L^{p}_{a}}(mathbb C^d,s,alpha ))</span> for positive integers <i>s</i>.</p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139903045","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Regularity results for classes of Hilbert C*-modules with respect to special bounded modular functionals 关于特殊有界模态函数的希尔伯特 C* 模块类的正则性结果
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-02-17 DOI: 10.1007/s43034-024-00320-5
Michael Frank
{"title":"Regularity results for classes of Hilbert C*-modules with respect to special bounded modular functionals","authors":"Michael Frank","doi":"10.1007/s43034-024-00320-5","DOIUrl":"https://doi.org/10.1007/s43034-024-00320-5","url":null,"abstract":"<p>Considering the deeper reasons of the appearance of a remarkable counterexample by Kaad and Skeide (J Operat Theory 89(2):343–348, 2023) we consider situations in which two Hilbert C*-modules <span>(M subset N)</span> with <span>(M^bot = { 0 })</span> over a fixed C*-algebra <i>A</i> of coefficients cannot be separated by a non-trivial bounded <i>A</i>-linear functional <span>(r_0: N rightarrow A)</span> vanishing on <i>M</i>. In other words, the uniqueness of extensions of the zero functional from <i>M</i> to <i>N</i> is focussed. We show this uniqueness of extension for any such pairs of Hilbert C*-modules over W*-algebras, over monotone complete C*-algebras and over compact C*-algebras. Moreover, uniqueness of extension takes place also for any one-sided maximal modular ideal of any C*-algebra. Such a non-zero separating bounded <i>A</i>-linear functional <span>(r_0)</span> exist for a given pair of full Hilbert C*-modules <span>(M subseteq N)</span> over a given C*-algebra <i>A</i> iff there exists a bounded <i>A</i>-linear non-adjointable operator <span>(T_0: N rightarrow N)</span>, such that the kernel of <span>(T_0)</span> is not biorthogonally closed w.r.t. <i>N</i> and contains <i>M</i>. This is a new perspective on properties of bounded modular operators that might appear in Hilbert C*-module theory. By the way, we find a correct proof of Lemma 2.4 of Frank (Int J Math 13:1–19, 2002) in the case of monotone complete and compact C*-algebras, but find it not valid in certain particular cases.</p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139770202","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
On creating new essential spectrum by self-adjoint extension of gapped operators 论通过间隙算子的自联合扩展创建新的基本谱
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-02-16 DOI: 10.1007/s43034-024-00319-y
Alessandro Michelangeli
{"title":"On creating new essential spectrum by self-adjoint extension of gapped operators","authors":"Alessandro Michelangeli","doi":"10.1007/s43034-024-00319-y","DOIUrl":"https://doi.org/10.1007/s43034-024-00319-y","url":null,"abstract":"<p>Given a densely defined and gapped symmetric operator with infinite deficiency index, it is shown how self-adjoint extensions admitting arbitrarily prescribed portions of the gap as essential spectrum are identified and constructed within a general extension scheme. The emergence of new spectrum in the gap by self-adjoint extension is a problem with a long history and recent deep understanding, and yet it remains topical in several recent applications. Whereas it is already an established fact that, in case of infinite deficiency index, any kind of spectrum inside the gap can be generated by a suitable self-adjoint extension, the present discussion has the virtue of showing the clean and simple operator-theoretic mechanism of emergence of such extensions.</p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139769889","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
首页 上一页 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