Spectral invariance of quasi-Banach algebras of matrices and pseudodifferential operators-Reference-Cited by-同舟云学术

Spectral invariance of quasi-Banach algebras of matrices and pseudodifferential operators

Published:2024-01-03 Issue:5 Volume:36 Page:1201-1224
ISSN:0933-7741
Container-title:Forum Mathematicum
language:en
Short-container-title:

Author:

Gröchenig Karlheinz¹,Pfeuffer Christine²,Toft Joachim³^ORCID

Affiliation:

1. Faculty of Mathematics , University of Vienna , Oskar-Morgenstern-Platz 1, 1090 Vienna , Austria

2. Faculty of Mathematics , Martin-Luther-Universität Halle-Wittenberg , 06099 Halle (Saale) , Germany

3. Faculty of Mathematics , Lineaus University , Universitetsplatsen 1, 35195 Växjö , Sweden

Abstract

Abstract We extend the stability and spectral invariance of convolution-dominated matrices to the case of quasi-Banach algebras p < 1

{p<1}

. As an application, we construct a spectrally invariant quasi-Banach algebra of pseudodifferential operators with non-smooth symbols that generalize Sjöstrand’s results.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/forum-2023-0212/pdf

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