Annals of Functional Analysis最新文献_第6页

Weighted-type high-order growth spaces: the smallness and a new approach to characterizing weighted composition operators 加权型高阶增长空间：较小性及表征加权复合算子的一种新方法

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2026-02-06 DOI: 10.1007/s43034-025-00488-4

Thai Thuan Quang

引用次数: 0

The single-valued extension property in Banach algebras Banach代数的单值可拓性

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2026-02-06 DOI: 10.1007/s43034-025-00491-9

Yingying Kong

引用次数: 0

The scattered radical of some (C^*)-algebras 一些(C^*) -代数的散根

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2026-01-21 DOI: 10.1007/s43034-025-00489-3

Peng Cao, Zhang Xiang

{"title":"The scattered radical of some (C^*)-algebras","authors":"Peng Cao, Zhang Xiang","doi":"10.1007/s43034-025-00489-3","DOIUrl":"10.1007/s43034-025-00489-3","url":null,"abstract":"<div>For a (C^*)-algebra ({mathcal {A}},) its scattered radical ({mathcal {R}}_s({mathcal {A}})) is the largest scattered ideal of ({mathcal {A}};) an ideal is scattered if its elements all have countable spectrum. We say that ({mathcal {A}}) is scattered if ({mathcal {R}}_s({mathcal {A}})={mathcal {A}}.) In this paper, we first show that any scattered von Neumann algebra is finite dimensional and then obtain a complete characterization of scattered radical of von Neumann algebras. Furthermore, we give a topological characterization of ({mathcal {R}}_s(C(M)),) that is, ({mathcal {R}}_s(C(M))={fin C(M): f(P(M))=0},) where M is a Hausdorff compact space and P(M) is the largest perfect subset of M. Finally, we show that ({mathcal {R}}_s({mathcal {A}}otimes _{min } {mathcal {B}})={mathcal {R}}_s({mathcal {A}})otimes _{min } {mathcal {R}}_s({mathcal {B}})) if ({mathcal {A}},{mathcal {B}},) satisfying one of the following conditions: (i) ({mathcal {A}},{mathcal {B}}) are (C^*)-algebras and ({mathcal {A}},{mathcal {B}}) are exact; (ii) ({mathcal {A}},{mathcal {B}}) are (C^*)-algebras and ({mathcal {A}}) or ({mathcal {B}}) is nuclear.</div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"17 2","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146007123","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 factorization of the shift semigroup 关于移位半群的分解

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2026-01-07 DOI: 10.1007/s43034-025-00463-z

Tirthankar Bhattacharyya, Shubham Rastogi, Kalyan B. Sinha, U. Vijaya Kumar

{"title":"On factorization of the shift semigroup","authors":"Tirthankar Bhattacharyya, Shubham Rastogi, Kalyan B. Sinha, U. Vijaya Kumar","doi":"10.1007/s43034-025-00463-z","DOIUrl":"10.1007/s43034-025-00463-z","url":null,"abstract":"<div>Let (mathcal {E}) be a finite dimensional Hilbert space. This note finds all factorizations of the right shift semigroup ({mathcal {S}}^mathcal {E}=(S_t^mathcal {E})_{tge 0}) on (L^2(mathbb {R}_+,mathcal {E})) into the product of n commuting contractive semigroups, i.e., characterizes all n-tuples of commuting semigroups (({mathcal {V}}_1,{mathcal {V}}_2,ldots ,{mathcal {V}}_n)) where ({mathcal {V}}_i=(V_{i,t})_{tge 0}) for (i=1,2,ldots ,n) are semigroups of contractions satisfying (V_{i,t}V_{j,t}=V_{j,t}V_{i,t}) for all i and j and (S_t^mathcal {E}=V_{1,t}V_{2,t}cdots V_{n,t}) for all (tge 0.) The factorizations are characterized by tuples of self-adjoint operators (underline{A}=(A_1,A_2,ldots ,A_n)) and tuples of positive contractions (underline{B}=(B_1,B_2,ldots ,B_n)) on (mathcal {E}) satisfying certain conditions which are stated in Theorem 4.10. One of the tools of our analysis is a convexity argument using the extreme points of the Herglotz class of functions <div><div>$$begin{aligned} P:={f:{{mathbb {D}}}rightarrow mathbb {C}text { is analytic}, text {Re}{f}>0 text { and }f(0)=1 }. end{aligned}$$</div></div></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"17 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145929764","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

Poisson transforms on right-angled Artin monoids 泊松变换在直角Artin模群上

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2026-01-06 DOI: 10.1007/s43034-025-00486-6

Boyu Li

引用次数: 0

Distance between unitary orbits of unitary elements in (C^*)-algebras of real rank zero 实数为零的(C^*) -代数中酉元的酉轨道之间的距离

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2026-01-05 DOI: 10.1007/s43034-025-00487-5

Ruofei Wang, Jiajie Hua

{"title":"Distance between unitary orbits of unitary elements in (C^*)-algebras of real rank zero","authors":"Ruofei Wang, Jiajie Hua","doi":"10.1007/s43034-025-00487-5","DOIUrl":"10.1007/s43034-025-00487-5","url":null,"abstract":"<div>Let A be a unital (C^*)-algebra and U(A) be the unitary group of A. For (xin A), the unitary orbit of x is the set ({u^*xu: uin U(A)}), we denote by ({mathcal {U}}(x)) the closure of the unitary orbit of x. In this paper, we show that if A is a unital simple (C^*)-algebra of stable rank one and real rank zero, and (V_1,V_2in U(A)) with ([V_1]_1=[V_2]_1=0) in (K_1(A)), then (D_c(V_1,V_2)=textrm{dist}({mathcal {U}}(V_1),{mathcal {U}}(V_2))), where (D_c(V_1,V_2)) is a spectral distance function introduced by Hu and Lin and (textrm{dist}({mathcal {U}}(V_1),{mathcal {U}}(V_2))) is the distance between ({mathcal {U}}(V_1)) and ({mathcal {U}}(V_2)). Furthermore, we show that if A is a unital simple (C^*)-algebra of tracial rank zero, and (V_1,V_2in U(A)) with ([lambda -V_1]_1=[lambda -V_2]_1) for all (lambda notin {mathbb {T}}) in (K_1(A)), then (D_c(V_1,V_2)=textrm{dist}({mathcal {U}}(V_1),{mathcal {U}}(V_2))). Thus, we generalize the results by Bhatia and Davis for distance between unitary orbits of unitary matrices.</div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"17 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145929871","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

Quasi-stability and shadowing dynamics for ({mathbb {Z}}^d)-actions on Banach spaces Banach空间上({mathbb {Z}}^d) -作用的拟稳定性和阴影动力学

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2026-01-04 DOI: 10.1007/s43034-025-00490-w

Peirong Li, Zhiming Li, Bilel Selmi

引用次数: 0

Satellite forms of grand Furuta–Ando–Hiai inequalities and its applications 大古田-安多-海不等式的卫星形式及其应用

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2025-12-26 DOI: 10.1007/s43034-025-00485-7

Jun Ichi Fujii, Masatoshi Fujii, Eizaburo Kamei, Yuki Seo

引用次数: 0

Some results on completion problems of upper triangular operator matrices 上三角算子矩阵补全问题的一些结果