Multiplication operators in BV spaces

被引：1

作者：

Reinwand, Simon ^{[1
]}

Kasprzak, Piotr ^{[2
]}

机构：

[1] Julius Maximilian Univ Wurzburg, Dept Math, Emil Fischer Str 40, D-97074 Wurzburg, Germany

[2] Adam Mickiewicz Univ, Fac Math & Comp Sci, Ul Uniwersytetu Poznanskiego 4, PL-61614 Poznan, Poland

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2023年 / 202卷 / 02期

关键词：

Bijective operators; Closed range operators; Continuous operators; Compact operators; Finite-rank operators; Fredholm operators; Injective operators; Jordan variation; Measure of non-compactness of an operator; Multiplication operators; Riesz variation; Spaces of functions of bounded variation; Spectrum of an operator; Surjective operators; Wiener variation; Young variation; BOUNDED P-VARIATION; BANACH-SPACES; MULTIPLIERS;

D O I：

10.1007/s10231-022-01260-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to provide necessary and sufficient conditions on the generator of a multiplication operator acting in the spaces of functions of bounded Young and Riesz variation so that it is, among other things, invertible, continuous, finite rank, compact, Fredholm or has closed range. Furthermore, we characterize various spectra of such operators and give some estimates on their measure of non-compactness.

引用

页码：787 / 826

页数：40

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