Annals of Functional Analysis最新文献_第10页

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 1.2 3区数学

Annals of Functional Analysis Pub Date : 2024-02-27 DOI: 10.1007/s43034-024-00328-x

Fei Peng, Xiaoxiang Zhang

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 1.2 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

引用次数: 0

Making more approximate oblique dual frame pairs 制作更多近似斜双框对

IF 1.2 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

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 1.2 3区数学

Annals of Functional Analysis Pub Date : 2024-02-23 DOI: 10.1007/s43034-024-00324-1

Jiale Chen

引用次数: 0

p-Compactness of Bloch maps 布洛赫映射的 p-紧密性

IF 1.2 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

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 1.2 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

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 1.2 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":"10.1007/s43034-024-00320-5","url":null,"abstract":"<div>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 (M subset N) with (M^bot = { 0 }) over a fixed C*-algebra A of coefficients cannot be separated by a non-trivial bounded A-linear functional (r_0: N rightarrow A) vanishing on M. In other words, the uniqueness of extensions of the zero functional from M to N 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 A-linear functional (r_0) exist for a given pair of full Hilbert C*-modules (M subseteq N) over a given C*-algebra A iff there exists a bounded A-linear non-adjointable operator (T_0: N rightarrow N), such that the kernel of (T_0) is not biorthogonally closed w.r.t. N and contains M. 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.</div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"15 2","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43034-024-00320-5.pdf","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":"OA","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 1.2 3区数学

Annals of Functional Analysis Pub Date : 2024-02-16 DOI: 10.1007/s43034-024-00319-y

Alessandro Michelangeli

引用次数: 0

Lipschitz continuity of the dilation of Bloch functions on the unit ball of a Hilbert space and applications 希尔伯特空间单位球上布洛赫函数扩张的 Lipschitz 连续性及其应用

IF 1.2 3区数学

Annals of Functional Analysis Pub Date : 2024-02-13 DOI: 10.1007/s43034-024-00317-0

Alejandro Miralles

{"title":"Lipschitz continuity of the dilation of Bloch functions on the unit ball of a Hilbert space and applications","authors":"Alejandro Miralles","doi":"10.1007/s43034-024-00317-0","DOIUrl":"10.1007/s43034-024-00317-0","url":null,"abstract":"<div>Let (B_E) be the open unit ball of a complex finite- or infinite-dimensional Hilbert space. If f belongs to the space (mathcal {B}(B_E)) of Bloch functions on (B_E), we prove that the dilation map given by (x mapsto (1-Vert xVert ^2) mathcal {R}f(x)) for (x in B_E), where (mathcal {R}f) denotes the radial derivative of f, is Lipschitz continuous with respect to the pseudohyperbolic distance (rho _E) in (B_E), which extends to the finite- and infinite-dimensional setting the result given for the classical Bloch space (mathcal {B}). To provide this result, we will need to prove that (rho _E(zx,zy) le |z| rho _E(x,y)) for (x,y in B_E) under some conditions on (z in mathbb {C}). Lipschitz continuity of (x mapsto (1-Vert xVert ^2) mathcal {R}f(x)) will yield some applications on interpolating sequences for (mathcal {B}(B_E)) which also extends classical results from (mathcal {B}) to (mathcal {B}(B_E)). Indeed, we show that it is necessary for a sequence in (B_E) to be separated to be interpolating for (mathcal {B}(B_E)) and we also prove that any interpolating sequence for (mathcal {B}(B_E)) can be slightly perturbed and it remains interpolating.</div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"15 2","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43034-024-00317-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139770003","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Lorentz spaces depending on more than two parameters 取决于两个以上参数的洛伦兹空间

IF 1.2 3区数学

Annals of Functional Analysis Pub Date : 2024-02-08 DOI: 10.1007/s43034-023-00313-w

Albrecht Pietsch

{"title":"Lorentz spaces depending on more than two parameters","authors":"Albrecht Pietsch","doi":"10.1007/s43034-023-00313-w","DOIUrl":"10.1007/s43034-023-00313-w","url":null,"abstract":"<div>For more than 50 years, the author has asked himself why Lorentz spaces are only defined for two parameters. Has this choice been made just for simplicity or is it a natural bound that cannot be exceeded? This question is principal and has nothing to do with usefulness. Now, I discovered a way to produce Lorentz sequence spaces for any finite number of parameters. Having found the right approach, everything turns out to be elementary; the presentation becomes an orgy of mathematical induction. Unfortunately, the new spaces are only of theoretical interest, since we do not know any handy description of their members. This dilemma is, most likely, the reason for the restriction to two, regretted above. However, by the axiom of choice, mathematicians are used to deals with objects that exist only formally; see Banach limits. Therefore, our situation is much more comfortable. It is recommended that, as a first step, readers should have a short glance at the last section, where historical aspects and the interplay between basic concepts are described. Apart from proved theorems, the paper contains many open problems. It is motivated by the same spirit as my very last bibitem in the references. Senior mathematicians should show the way into the future.</div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"15 2","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139769777","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