Project Euclid - Functional Analysis

Banach function spaces on locally compact groups

 Mathematics - Research News
 31 October 2019
Przemysław Górka, Paweł Pośpiech. Source: Annals of Functional Analysis, Volume 10, Number 4, 460--471.Abstract: We study Banach function spaces (BFS) on locally compact topological groups. We focus on totally bounded sets in BFS. We obtain the Riesz–Kolmogorov compactness theorem as well as the...

Some classes of linear operators involved in functional equations

 Mathematics - Research News
 06 August 2019
Janusz Morawiec, Thomas Zürcher. Source: Annals of Functional Analysis, Volume 10, Number 3, 381--394.Abstract: Fix $N\in\mathbb{N}$ , and assume that, for every $n\in\{1,\ldots,N\}$ , the functions $f_{n}\colon[0,1]\to[0,1]$ and $g_{n}\colon[0,1]\to\mathbb{R}$ are Lebesgue-measurable, $f_{n}$ is...

Noncomplex symmetric operators are dense

 Mathematics - Research News
 06 August 2019
Ting Ting Zhou, Bin Liang. Source: Annals of Functional Analysis, Volume 10, Number 3, 350--356.Abstract: An operator $T\in \mathcal{B}(\mathcal{H})$ is complex-symmetric if there exists a conjugate-linear, isometric involution $C:\mathcal{H}\longrightarrow\mathcal{H}$ so that $CTC=T^{*}$ . In...

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