Banach Journal of Mathematical Analysis最新文献_第3页

Martingale inequalities in Orlicz–Karamata modular spaces Orlicz-Karamata 模块空间中的马丁格尔不等式

IF 1.2 2区数学

Banach Journal of Mathematical Analysis Pub Date : 2024-06-26 DOI: 10.1007/s43037-024-00365-7

Libo Li, Kaituo Liu, Yao Wang

引用次数: 0

The vector-valued Stieltjes moment problem with general exponents 具有一般指数的矢量值斯蒂尔杰斯矩问题

IF 1.2 2区数学

Banach Journal of Mathematical Analysis Pub Date : 2024-06-25 DOI: 10.1007/s43037-024-00364-8

Andreas Debrouwere, Lenny Neyt

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Higher order Tsirelson spaces and their modified versions are isomorphic 高阶齐里尔逊空间及其修正版同构

IF 1.2 2区数学

Banach Journal of Mathematical Analysis Pub Date : 2024-06-03 DOI: 10.1007/s43037-024-00359-5

Hùng Việt Chu, Thomas Schlumprecht

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Applications of martingale Hardy Orlicz–Lorentz–Karamata theory in Fourier analysis 傅立叶分析中马丁格尔-哈代-奥利奇-洛伦兹-卡拉马塔理论的应用

IF 1.2 2区数学

Banach Journal of Mathematical Analysis Pub Date : 2024-06-03 DOI: 10.1007/s43037-024-00357-7

Zhiwei Hao, Libo Li, Ferenc Weisz

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Birkhoff–James orthogonality in certain tensor products of Banach spaces II 某些巴拿赫空间张量积中的伯克霍夫-詹姆斯正交性 II

IF 1.2 2区数学

Banach Journal of Mathematical Analysis Pub Date : 2024-05-28 DOI: 10.1007/s43037-024-00356-8

Mohit, Ranjana Jain

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Quantitative weighted estimates for generalized commutators of multilinear Calderón–Zygmund operators with the kernels of Dini type 具有迪尼型核的多线性卡尔德隆-齐格蒙德算子广义换元器的定量加权估计值

IF 1.2 2区数学

Banach Journal of Mathematical Analysis Pub Date : 2024-05-27 DOI: 10.1007/s43037-024-00353-x

Yuru Li, Jiawei Tan, Qingying Xue

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A class of closed manifolds in nonseparable Hilbert spaces 不可分割的希尔伯特空间中的一类封闭流形

IF 1.2 2区数学

Banach Journal of Mathematical Analysis Pub Date : 2024-05-27 DOI: 10.1007/s43037-024-00352-y

Ye Zhang, Yanni Chen, Don Hadwin

{"title":"A class of closed manifolds in nonseparable Hilbert spaces","authors":"Ye Zhang, Yanni Chen, Don Hadwin","doi":"10.1007/s43037-024-00352-y","DOIUrl":"https://doi.org/10.1007/s43037-024-00352-y","url":null,"abstract":"In this paper, we consider a class of generalized closed linear manifolds in a nonseparable Hilbert space H, which is closely related to the generalized Fredholm theory. We first investigate properties of the set ({mathcal {B}}_{vartriangleleft }={Tin {mathcal {M}}:overline{T(H)}subset A(H)) for some (Ain {mathcal {B}}},) where ({mathcal {B}}) is a (C^*)-subalgebra of a von Neumann algebra ({mathcal {M}}). It is proved that a selfadjoint ({mathcal {B}}_{vartriangleleft }) is always an ideal in ({mathcal {M}}). In a type (textrm{II}_infty ) factor, we show that there exists a tracial weight (whose range containing infinite cardinals) such that two projections are equivalent if and only if they have the same tracial weight, which leads to a complete characterization of such selfadjoint ({mathcal {B}}_{vartriangleleft }) when ({mathcal {M}}) is a factor. Then we introduce the concept of closed manifolds with respect to a pair of C*-algebras and study some properties. Finally, when m is an infinite cardinal, as a special important case we focus on m-closed subspaces and operators which preserve m-closed subspaces. It is proved that these operators are either of rank less than m, or the generalized left semi-Fredholm operators.","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":"98 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141172345","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

Maximal numerical ranges of certain classes of operators and approximation 某类算子的最大数值范围和近似值

IF 1.2 2区数学

Banach Journal of Mathematical Analysis Pub Date : 2024-05-27 DOI: 10.1007/s43037-024-00358-6

Rui Dou, Youqing Ji, Sen Zhu

{"title":"Maximal numerical ranges of certain classes of operators and approximation","authors":"Rui Dou, Youqing Ji, Sen Zhu","doi":"10.1007/s43037-024-00358-6","DOIUrl":"https://doi.org/10.1007/s43037-024-00358-6","url":null,"abstract":"Let (mathcal {B(H)}) be the collection of bounded linear operators on a complex separable Hilbert space (mathcal {H}). For (Tin mathcal {B(H)}), its numerical range and maximal numerical range are denoted by W(T) and (W_0(T)), respectively. First, we give in this paper a characterization of the maximal numerical range and, as applications, we determine maximal numerical ranges of weighted shifts, partial isometries, the Volterra integral operator and classical Toeplitz operators. Second, we study the universality of maximal numerical ranges, showing that any nonempty bounded convex closed subset of (mathbb {C}) is the maximal numerical range of some operator. Finally, we discuss the relations among the numerical range, the maximal numerical range and the spectrum. It is shown that the collection of those operators T with (W_0(T)cap sigma (T)=emptyset ) is a nonempty open subset of (mathcal {B(H)}) precisely when (dim mathcal {H}>1), and is dense precisely when (1<dim mathcal {H}<infty ). We also show that those operators T with (W_0(T)= W(T)) constitute a nowhere dense subset of (mathcal {B(H)}) precisely when (dim mathcal {H}>1)","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":"141 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141172560","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 relations among the notions of various kinds of stability and their applications 各种稳定性概念之间的关系及其应用

IF 1.2 2区数学

Banach Journal of Mathematical Analysis Pub Date : 2024-05-24 DOI: 10.1007/s43037-024-00354-w

Tiexin Guo, Xiaohuan Mu, Qiang Tu

{"title":"The relations among the notions of various kinds of stability and their applications","authors":"Tiexin Guo, Xiaohuan Mu, Qiang Tu","doi":"10.1007/s43037-024-00354-w","DOIUrl":"https://doi.org/10.1007/s43037-024-00354-w","url":null,"abstract":"First, we prove that a random metric space can be isometrically embedded into a complete random normed module, as an application it is easy to see that the notion of d-(sigma )-stability in a random metric space can be regarded as a special case of the notion of (sigma )-stability in a random normed module; as another application we give the final version of the characterization for a d-(sigma )-stable random metric space to be stably compact. Second, we prove that an (L^{p})-normed (L^{infty })-module is exactly generated by a complete random normed module so that the gluing property of an (L^{p})-normed (L^{infty })-module can be derived from the (sigma )-stability of the generating random normed module, as applications the direct relation between module duals and random conjugate spaces are given. Third, we prove that a random normed space is order complete iff it is ((varepsilon ,lambda ))-complete, as an application it is proved that the d-decomposability of an order complete random normed space is exactly its d-(sigma )-stability. Finally, we prove that an equivalence relation on the product space of a nonempty set X and a complete Boolean algebra B is regular iff it can be induced by a B-valued Boolean metric on X, as an application it is proved that a nonempty subset of a Boolean set (X, d) is universally complete iff it is a B-stable set defined by a regular equivalence relation.","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":"22 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141148943","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

Arens regularity of $$A_Phi (G)$$ $$A_Phi (G)$$ 的阿伦正则性

IF 1.2 2区数学

Banach Journal of Mathematical Analysis Pub Date : 2024-05-13 DOI: 10.1007/s43037-024-00345-x

Arvish Dabra, N. Shravan Kumar

引用次数: 0