Closed operator functional calculus in Banach modules and applications

被引：2

作者：

Baskakov, Anatoly G. ^{[1
]}

Krishtal, Ilya A. ^{[2
]}

Uskova, Natalia B. ^{[3
]}

机构：

[1] Voronezh State Univ, Dept Appl Math & Mech, Voronezh 394693, Russia

[2] Northern Illinois Univ, Dept Math Sci, De Kalb, IL 60115 USA

[3] Voronezh State Tech Univ, Dept Higher Math & Math Phys Modeling, Voronezh 394026, Russia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 492卷 / 02期

关键词：

Functional calculus; Banach modules; Asymptotic spectral analysis; Spectral mapping theorem; SPECTRAL THEORY; MATRICES; FRAMES;

D O I：

10.1016/j.jmaa.2020.124473

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe a closed operator functional calculus in Banach modules over the group algebra L-1(R) and illustrate its usefulness with a few applications. In particular, we deduce a spectral mapping theorem for operators in the functional calculus, which generalizes some of the known results. We also obtain an estimate for the spectrum of a perturbed differential operator in a certain class. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：14

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