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Annals of Functional Analysis最新文献

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Phase-isometries between the positive cones of the Banach space of continuous real-valued functions 连续实值函数巴拿赫空间正锥之间的相位等分线
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-08-08 DOI: 10.1007/s43034-024-00378-1
Daisuke Hirota, Izuho Matsuzaki, Takeshi Miura
{"title":"Phase-isometries between the positive cones of the Banach space of continuous real-valued functions","authors":"Daisuke Hirota, Izuho Matsuzaki, Takeshi Miura","doi":"10.1007/s43034-024-00378-1","DOIUrl":"https://doi.org/10.1007/s43034-024-00378-1","url":null,"abstract":"<p>For a locally compact Hausdorff space <i>L</i>, we denote by <span>(C_0(L,{mathbb {R}}))</span> the Banach space of all continuous real-valued functions on <i>L</i> vanishing at infinity equipped with the supremum norm. We prove that every surjective phase-isometry <span>(T:C_0^+(X,{mathbb {R}})rightarrow C_0^+(Y,{mathbb {R}}))</span> between the positive cones of <span>(C_0(X,{mathbb {R}}))</span> and <span>(C_0(Y,{mathbb {R}}))</span> is a composition operator induced by a homeomorphism between <i>X</i> and <i>Y</i>. Furthermore, we show that any surjective phase-isometry <span>(T:C_0^+(X,{mathbb {R}})rightarrow C_0^+(Y,{mathbb {R}}))</span> extends to a surjective linear isometry from <span>(C_0(X,{mathbb {R}}))</span> onto <span>(C_0(Y,{mathbb {R}}))</span>.</p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141948441","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
Logarithmic refinements of a power weighted Hardy–Rellich-type inequality 幂加权哈代-雷利克式不等式的对数改进
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-08-08 DOI: 10.1007/s43034-024-00381-6
Fritz Gesztesy, Michael M. H. Pang, Jonathan Stanfill
{"title":"Logarithmic refinements of a power weighted Hardy–Rellich-type inequality","authors":"Fritz Gesztesy, Michael M. H. Pang, Jonathan Stanfill","doi":"10.1007/s43034-024-00381-6","DOIUrl":"https://doi.org/10.1007/s43034-024-00381-6","url":null,"abstract":"<p>The principal purpose of this note is to prove a logarithmic refinement of the power weighted Hardy–Rellich inequality on <i>n</i>-dimensional balls, valid for the largest variety of underlying parameters and for all dimensions <span>(n in {mathbb {N}})</span>, <span>(nge 2)</span>.</p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141948439","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
Triangular- $$theta $$ summability of double Fourier series on quantum tori 量子环上双傅里叶级数的三角- $$theta $$ 可求和性
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-07-26 DOI: 10.1007/s43034-024-00376-3
Yong Jiao, Tiantian Zhao, Dejian Zhou
{"title":"Triangular- $$theta $$ summability of double Fourier series on quantum tori","authors":"Yong Jiao, Tiantian Zhao, Dejian Zhou","doi":"10.1007/s43034-024-00376-3","DOIUrl":"https://doi.org/10.1007/s43034-024-00376-3","url":null,"abstract":"<p>We study the triangular <span>(theta )</span>-mean of the partial sums of <span>(f in L_{p}({mathbb {T}}_{q}^{2}))</span> and prove the following noncommutative weak and strong type maximal inequalities: </p><span>$$begin{aligned} Vert (sigma _n^{Delta ,theta }(f))_{nge 1}Vert _{Lambda _{1,infty }({mathbb {T}}_q^2,ell _{infty })}le c_theta Vert fVert _{L_1({mathbb {T}}_{q}^2)},quad p=1 end{aligned}$$</span><p>and </p><span>$$begin{aligned} left| left( sigma _{n}^{Delta ,theta }(f)right) _{n ge 1}right| _{L_p({mathbb {T}}_q^2, ell _{infty })} le c_{p, theta }Vert fVert _{L_p({mathbb {T}}_q^2)},quad 1&lt;p&lt;infty , end{aligned}$$</span><p>where <span>({mathbb {T}}_{q}^{2})</span> is a 2-dimensional quantum torus. As a consequence, we obtain the bilateral almost uniform convergence of <span>(sigma _n^{Delta ,theta }(f))</span> provided <span>(f in L_{p}({mathbb {T}}_{q}^{2}).)</span></p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141775687","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
Criterion for ellipticity on Heisenberg group 海森堡群的椭圆性标准
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-07-14 DOI: 10.1007/s43034-024-00375-4
Dmitriy Zanin
{"title":"Criterion for ellipticity on Heisenberg group","authors":"Dmitriy Zanin","doi":"10.1007/s43034-024-00375-4","DOIUrl":"https://doi.org/10.1007/s43034-024-00375-4","url":null,"abstract":"<p>We provide a semi-constructive criterion for ellipticity of the differential operator on the Heisenberg group <span>(mathbb {H}^1.)</span></p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141614069","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
A universal property of semigroup $$C^*$$ -algebras generated by cones in groups of rationals 有理群中由锥形生成的半群 $$C^*$$ 算法的一个普遍属性
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-07-08 DOI: 10.1007/s43034-024-00374-5
Renat Gumerov, Anatoliy Kuklin, Ekaterina Lipacheva
{"title":"A universal property of semigroup $$C^*$$ -algebras generated by cones in groups of rationals","authors":"Renat Gumerov, Anatoliy Kuklin, Ekaterina Lipacheva","doi":"10.1007/s43034-024-00374-5","DOIUrl":"https://doi.org/10.1007/s43034-024-00374-5","url":null,"abstract":"<p>The article deals with the reduced semigroup <span>(C^*)</span>-algebras for the positive cones in ordered abelian groups. These <span>(C^*)</span>-algebras are generated by the regular isometric representations of the cones. Using the universal property of the isometric representations for the positive cones, we treat the reduced semigroup <span>(C^*)</span>-algebras as the universal <span>(C^*)</span>-algebras which are defined by sets of generators subject to relations. For arbitrary sequences of prime numbers, we consider the ordered groups of rational numbers determined by these sequences and the reduced semigroup <span>(C^*)</span>-algebras of the positive cones in these groups. It is shown that such an algebra can be characterized as a universal <span>(C^*)</span>-algebra generated by a countable set of isometries subject to polynomial relations associated with a sequence of prime numbers.</p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141571684","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
Extremals of singular Hardy–Trudinger–Moser inequality with remainder terms on unit disc 单位圆盘上带余项的奇异哈代-特鲁丁格-莫泽不等式的极值
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2024-07-01 DOI: 10.1007/s43034-024-00377-2
Weiwei Wang
{"title":"Extremals of singular Hardy–Trudinger–Moser inequality with remainder terms on unit disc","authors":"Weiwei Wang","doi":"10.1007/s43034-024-00377-2","DOIUrl":"https://doi.org/10.1007/s43034-024-00377-2","url":null,"abstract":"","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141715896","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
Complex interpolation between noncommutative martingale BMO spaces and Hardy–Orlicz spaces 非交换鞅 BMO 空间与 Hardy-Orlicz 空间之间的复插值法
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-06-22 DOI: 10.1007/s43034-024-00373-6
Mixuan Hou, Cuiting Li, Guangheng Xie, Yahui Zuo
{"title":"Complex interpolation between noncommutative martingale BMO spaces and Hardy–Orlicz spaces","authors":"Mixuan Hou, Cuiting Li, Guangheng Xie, Yahui Zuo","doi":"10.1007/s43034-024-00373-6","DOIUrl":"https://doi.org/10.1007/s43034-024-00373-6","url":null,"abstract":"<p>Let <span>(mathcal {M})</span> be a semifinite von Neumann algebra and <span>((mathcal {M}_n)_{nge 0})</span> a nondecreasing filtration of von Neumann subalgebras of <span>(mathcal {M})</span>. Suppose that <span>(Phi )</span> is a <i>p</i>-convex and <i>q</i>-concave Orlicz function with <span>(1&lt; ple q &lt;infty )</span>. In this paper, we establish the complex interpolation between the column martingale little BMO space <span>(textrm{bmo}^c(mathcal {M}))</span> and the noncommutative column conditioned martingale Hardy–Orlicz space <span>(h_{Phi }^c(mathcal {M}))</span> associated with the filtration <span>((mathcal {M}_n)_{nge 0})</span>.</p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141551645","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
Norm inequalities for the iterated perturbations of Laplace transformers generated by accretive $$scriptstyle N$$-tuples of operators in Q and Q* ideals of compact operators 由Q和Q*理想中紧凑算子的增量$scriptstyle N$$算子元组生成的拉普拉斯变换器迭代扰动的规范不等式
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-06-13 DOI: 10.1007/s43034-024-00364-7
Danko R. Jocić, Zora Lj. Golubović, Mihailo Krstić, Stevan Milašinović
{"title":"Norm inequalities for the iterated perturbations of Laplace transformers generated by accretive $$scriptstyle N$$-tuples of operators in Q and Q* ideals of compact operators","authors":"Danko R. Jocić, Zora Lj. Golubović, Mihailo Krstić, Stevan Milašinović","doi":"10.1007/s43034-024-00364-7","DOIUrl":"https://doi.org/10.1007/s43034-024-00364-7","url":null,"abstract":"","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141345490","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Crossed product C$$^*$$-algebras associated with p-adic multiplication 与 p-adic 乘法相关的交叉积 C$$^*$$ 算法
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-06-13 DOI: 10.1007/s43034-024-00372-7
Shelley Hebert, S. Klimek, Matt McBride, J. Peoples
{"title":"Crossed product C$$^*$$-algebras associated with p-adic multiplication","authors":"Shelley Hebert, S. Klimek, Matt McBride, J. Peoples","doi":"10.1007/s43034-024-00372-7","DOIUrl":"https://doi.org/10.1007/s43034-024-00372-7","url":null,"abstract":"","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141349677","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 the symplectic self-adjointness and residual spectral emptiness of upper triangular Hamiltonian operator matrices 论上三角哈密顿算子矩阵的交映自相接性和残余谱空性
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-06-12 DOI: 10.1007/s43034-024-00367-4
Jie Liu, Guohai Jin, Buhe Eerdun
{"title":"On the symplectic self-adjointness and residual spectral emptiness of upper triangular Hamiltonian operator matrices","authors":"Jie Liu, Guohai Jin, Buhe Eerdun","doi":"10.1007/s43034-024-00367-4","DOIUrl":"https://doi.org/10.1007/s43034-024-00367-4","url":null,"abstract":"","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141351225","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
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