Annals of Functional Analysis最新文献_第2页

On the spectrum of the symmetric tensor products of certain Hilbert-space operators 某些希尔伯特空间算子的对称张量积的谱

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2026-03-14 DOI: 10.1007/s43034-026-00504-1

Yuchi Yang, Yuanhang Zhang

引用次数: 0

C*-like modules and matrix p-operator norms 类C*模与矩阵p算子范数

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2026-03-13 DOI: 10.1007/s43034-025-00492-8

Alessandra Calin, Ian Cartwright, Luke Coffman, Alonso Delfín, Charles Girard, Jack Goldrick, Anoushka Nerella, Wilson Wu

{"title":"C*-like modules and matrix p-operator norms","authors":"Alessandra Calin, Ian Cartwright, Luke Coffman, Alonso Delfín, Charles Girard, Jack Goldrick, Anoushka Nerella, Wilson Wu","doi":"10.1007/s43034-025-00492-8","DOIUrl":"10.1007/s43034-025-00492-8","url":null,"abstract":"<div>We present a generalization of Hölder duality to algebra-valued pairings via (L^p)-modules. Hölder duality states that if (p in (1, infty )) and (p') are conjugate exponents, then the dual space of (L^p(mu )) is isometrically isomorphic to (L^{p'}(mu )). In this work, we study certain pairs ((textsf{Y},textsf{X})), as generalizations of the pair ((L^{p'}(mu ), L^p(mu ))), that have an (L^p)-operator algebra-valued pairing (textsf{Y}times textsf{X}rightarrow A). When the A-valued version of Hölder duality still holds, we say that ((textsf{Y}, textsf{X})) is C*-like. We show that finite and countable direct sums of the C*-like module (A, A) are still C*-like when A is any block diagonal subalgebra of (d times d) matrices. We provide counterexamples when (A subset M_d^p(mathbb {C})) is not block diagonal.</div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"17 2","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43034-025-00492-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147441357","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

Boundedness of modified anisotropic Calderón–Zygmund operators on anisotropic ball Campanato function spaces 各向异性球Campanato函数空间上修正各向异性Calderón-Zygmund算子的有界性

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2026-03-09 DOI: 10.1007/s43034-026-00498-w

Hongchao Jia, Xianjie Yan

{"title":"Boundedness of modified anisotropic Calderón–Zygmund operators on anisotropic ball Campanato function spaces","authors":"Hongchao Jia, Xianjie Yan","doi":"10.1007/s43034-026-00498-w","DOIUrl":"10.1007/s43034-026-00498-w","url":null,"abstract":"<div>Let (qin [1,infty )), (din {0,1,ldots }), (theta _0in (0,infty )), A be a general expansive matrix, and X be a ball quasi-Banach function space on ({mathbb {R}}^n) satisfying some mild assumptions. In this article, the authors first introduce the modified anisotropic Calderón–Zygmund operator (widetilde{T}) of the anisotropic Calderón–Zygmund operator T. Then the authors prove that (widetilde{T}) is bounded on the ball anisotropic Campanato-type function space <img> if and only if T satisfies the well-known vanishing condition that (T^*(x^{gamma })=0). Moreover, the authors show that (widetilde{T}) is just the adjoint operator of T on Hardy-type space (H_X^A(mathbb {R}^n)) [the predual space of <img>], which strengthens the rationality of the definition of (widetilde{T}). All these results are new even when they are applied, respectively, to anisotropic weighted Lebesgue spaces, variable Lebesgue spaces, Orlicz spaces, mixed-norm Lebesgue spaces, and Lorentz spaces. To obtain these results, the authors fully use the duality <img>, atomic characterizations of (H_X^A(mathbb {R}^n)), and a specific method for decomposing molecules into a summation of atoms.</div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"17 2","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147440898","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

Moment kernels, nested defects, and Cuntz dilations 矩核、嵌套缺陷和昆茨膨胀

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2026-03-06 DOI: 10.1007/s43034-026-00499-9

James Tian

引用次数: 0

Limited-type completely continuous operators on Banach lattices Banach格上的有限型完全连续算子

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2026-02-28 DOI: 10.1007/s43034-026-00497-x

Halimeh Ardakani, Vinícius Miranda

引用次数: 0

Dynamical systems with bounded condition and (C^{*})-algebras 具有有界条件的动力系统与(C^{*}) -代数

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2026-02-26 DOI: 10.1007/s43034-026-00501-4

Takehiko Mori

{"title":"Dynamical systems with bounded condition and (C^{*})-algebras","authors":"Takehiko Mori","doi":"10.1007/s43034-026-00501-4","DOIUrl":"10.1007/s43034-026-00501-4","url":null,"abstract":"<div>In this paper, we study abstract dynamical systems with discrete phase spaces. One example of such a system is induced by the (3 x{+}1)-map on the set of all natural numbers, also known as the Collatz map. Our main focus is on dynamical systems induced by maps on countable discrete sets that satisfy a bounded condition. When these maps satisfy the bounded and a separating conditions, a minimality of the induced dynamical systems is equivalent to the irreducibility of certain (C^{*})-algebras on certain Hilbert spaces. For a map f on a general discrete phase space, we consider f-invariant sets and investigate their properties. When the phase space is countable and the map satisfies the bounded condition, we construct an order-preserving injection from the family of f-invariant sets to the family of reducing subspaces for the corresponding (C^{*})-algebra. By introducing the totally uniqueness condition for f, we show that this injection is a bijection if f satisfies this condition. This condition is crucial in providing a symbolic representation of the dynamical system induced by f, and we discuss the relationship between this symbolic representation and that of a topological dynamical system.</div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"17 2","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147342311","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 norm and the minimum modulus attainment of an operator and its adjoint 关于算子及其伴随算子的范数和最小模的实现

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2026-02-24 DOI: 10.1007/s43034-026-00505-0

Ankan Mishra, Saikat Roy, Debmalya Sain

引用次数: 0

Carnot–Carathéodory metrics associated to degenerate elliptic operators in three dimensions 三维简并椭圆算子的carnot - carathacimodory度量

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2026-02-20 DOI: 10.1007/s43034-026-00496-y

Florian Meister, Olive Ross, Lyudmila Korobenko

引用次数: 0

Sequences that do frame reconstruction 进行帧重建的序列