Project Euclid - Functional Analysis

A note on peripherally multiplicative maps on Banach algebras

 Mathematics - Research News
 19 April 2019
Francois Schulz. Source: Annals of Functional Analysis, Volume 10, Number 2, 218--228.Abstract: Let $A$ and $B$ be complex Banach algebras, and let $\phi,\phi_{1}$ , and $\phi_{2}$ be surjective maps from $A$ onto $B$ . Denote by $\partial\sigma(x)$ the boundary of the spectrum of $x$ . If $A$ is...

On graph algebras from interval maps

 Mathematics - Research News
 19 April 2019
C. Correia Ramos, Nuno Martins, Paulo R. Pinto. Source: Annals of Functional Analysis, Volume 10, Number 2, 203--217.Abstract: We produce and study a family of representations of relative graph algebras on Hilbert spaces that arise from the orbits of points of $1$ -dimensional dynamical systems,...

Orthogonal complementing in Hilbert $C^{*}$ -modules

 Mathematics - Research News
 19 April 2019
Boris Guljaš. Source: Annals of Functional Analysis, Volume 10, Number 2, 196--202.Abstract: We characterize orthogonally complemented submodules in Hilbert $C^{*}$ -modules by their orthogonal closures. Applying Magajna’s characterization of Hilbert $C^{*}$ -modules over $C^{*}$ -algebras of...

G-frames and their generalized multipliers in Hilbert spaces

 Mathematics - Research News
 19 April 2019
Hessam Hosseinnezhad, Gholamreza Abbaspour Tabadkan, Asghar Rahimi. Source: Annals of Functional Analysis, Volume 10, Number 2, 180--195.Abstract: In this article, we introduce the concept of generalized multipliers for g-frames. In fact, we show that every generalized multiplier for g-Bessel...

Doubly stochastic operators with zero entropy

 Mathematics - Research News
 16 January 2019
Bartosz Frej, Dawid Huczek. Source: Annals of Functional Analysis, Volume 10, Number 1, 144--156.Abstract: We study doubly stochastic operators with zero entropy. We generalize three famous theorems: Rokhlin’s theorem on genericity of zero entropy, Kushnirenko’s theorem on equivalence of discrete...

On $J$ -frames related to maximal definite subspaces

 Mathematics - Research News
 16 January 2019
Alan Kamuda, Sergii Kuzhel. Source: Annals of Functional Analysis, Volume 10, Number 1, 106--121.Abstract: We propose a definition of frames in Krein spaces which generalizes the concept of $J$ -frames defined relatively recently by Giribet, Maestripieri, Martínez-Pería, and Massey. The difference...

Unitary representations of infinite wreath products

 Mathematics - Research News
 16 January 2019
Robert P. Boyer, Yun S. Yoo. Source: Annals of Functional Analysis, Volume 10, Number 1, 97--105.Abstract: Using $C^{*}$ -algebraic techniques and especially AF-algebras, we present a complete classification of the continuous unitary representations for a class of infinite wreath product groups....

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