Annals of Functional Analysis最新文献_第3页

Upper frequently hypercyclic algebras for backward shifts on directed trees 有向树上倒移的上频繁超循环代数

IF 0.9 3区数学

Annals of Functional Analysis Pub Date : 2026-07-06 DOI: 10.1007/s43034-026-00520-1

Xiang Chen, Li Zhang, Zehua Zhou

引用次数: 0

Local spectral properties for sums of operators related to complex symmetry 复对称算子和的局部谱性质

IF 0.9 3区数学

Annals of Functional Analysis Pub Date : 2026-07-06 DOI: 10.1007/s43034-026-00529-6

Sungeun Jung

引用次数: 0

Classification of (C^*)-algebras of twisted isometries with finite dimensional wandering spaces 具有有限维漫游空间的扭曲等距(C^*) -代数的分类

IF 0.9 3区数学

Annals of Functional Analysis Pub Date : 2026-06-30 DOI: 10.1007/s43034-026-00525-w

Shreema Subhash Bhatt, Surajit Biswas, Bipul Saurabh

{"title":"Classification of (C^*)-algebras of twisted isometries with finite dimensional wandering spaces","authors":"Shreema Subhash Bhatt, Surajit Biswas, Bipul Saurabh","doi":"10.1007/s43034-026-00525-w","DOIUrl":"10.1007/s43034-026-00525-w","url":null,"abstract":"<div>Let (m, n in mathbb {N}_0), and let X be a closed subset of (mathbb {T}^{left( {begin{array}{c}m+n 2end{array}}right) }). We define (C^{m,n}_X) to be the universal (C^*)-algebra among those generated by m unitaries and n isometries satisfying doubly twisted commutation relations with respect to a twist (mathcal {U} = left{ U_{ij}right} _{1 le i < j le m+n}) of commuting unitaries having joint spectrum X. We provide a complete list of the irreducible representations of (C^{m,n}_X) up to unitary equivalence and, under a denseness assumption on X, explicitly construct a faithful representation of (C^{m,n}_X). Under the same assumption, we also give a necessary and sufficient condition on a fixed tuple (mathcal {U}) of commuting unitaries with joint spectrum X for the existence of a universal tuple of (mathcal {U})-doubly twisted isometries. For (X = mathbb {T}^{left( {begin{array}{c}m+n 2end{array}}right) }), we compute the K-groups of (C^{m,n}_X). We further classify the (C^*)-algebras generated by a pair of doubly twisted isometries with a fixed parameter (theta in mathbb {R} {setminus } mathbb {Q}), whose wandering spaces are finite-dimensional. Finally, for a fixed unitary U, we classify all the (C^*)-algebras generated by the unitary U and a pair of U-doubly twisted isometries with finite-dimensional wandering spaces.</div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"17 3","pages":""},"PeriodicalIF":0.9,"publicationDate":"2026-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148380806","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

Separability and submetrizability in locally convex spaces 局部凸空间中的可分性和子约性

IF 0.9 3区数学

Annals of Functional Analysis Pub Date : 2026-06-29 DOI: 10.1007/s43034-026-00524-x

Thomas Ruf

引用次数: 0

New characterizations of first order Sobolev spaces 一阶Sobolev空间的新表征

IF 0.9 3区数学

Annals of Functional Analysis Pub Date : 2026-06-19 DOI: 10.1007/s43034-026-00519-8

Przemysław Górka, Kacper Kurowski

引用次数: 0

(C^*)-extreme points of unital completely positive maps invariant under group action (C^*)群作用下的完全正映射的极值点

IF 0.9 3区数学

Annals of Functional Analysis Pub Date : 2026-06-18 DOI: 10.1007/s43034-026-00523-y

Chaitanya J. Kulkarni

{"title":"(C^*)-extreme points of unital completely positive maps invariant under group action","authors":"Chaitanya J. Kulkarni","doi":"10.1007/s43034-026-00523-y","DOIUrl":"10.1007/s43034-026-00523-y","url":null,"abstract":"<div>In this work, we study a sub-collection of unital completely positive maps from a unital (C^*)-algebra (mathcal {A}) to (mathcal {B}(mathcal {H}),) the algebra of bounded linear operators on a Hilbert space (mathcal {H}) in the setting of (C^*)-convexity. Let (tau ) be an action of a group G on the (C^*)-algebra (mathcal {A}) through (C^*)-automorphisms. We focus our attention to the set of all unital completely positive maps from (mathcal {A}) to (mathcal {B}(mathcal {H}),) which remain invariant under (tau .) We denote this collection by the notation ({text {UCP}}^{G_tau } big (mathcal {A}, mathcal {B} (mathcal {H} ) big ).) This collection forms a (C^*)-convex set. We characterize the set of (C^*)-extreme points of ({text {UCP}}^{G_tau } big (mathcal {A}, mathcal {B} (mathcal {H} ) big ).) Further, we conclude the article by proving the Krein–Milman type theorem in the setting of (C^*)-convexity for the set ({text {UCP}}^{G_tau } big (mathcal {A}, mathcal {B} (mathcal {H} ) big ).)</div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"17 3","pages":""},"PeriodicalIF":0.9,"publicationDate":"2026-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148281223","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

Absolutely summing Carleson embeddings on generalized Fock spaces 广义Fock空间上Carleson嵌入的绝对求和

IF 0.9 3区数学

Annals of Functional Analysis Pub Date : 2026-06-15 DOI: 10.1007/s43034-026-00522-z

Ermin Wang, Yecheng Shi

引用次数: 0

On sweeping processes in Banach spaces Banach空间中的扫掠过程

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2026-06-11 DOI: 10.1007/s43034-026-00515-y

Youcef Askoura

引用次数: 0

Disjoint (mathcal {F})-semi-transitivity in Banach algebras Banach代数中的不相交(mathcal {F}) -半可传递性