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Bull. Korean Math. Soc. 2016; 53(2): 541-550

Printed March 31, 2016

https://doi.org/10.4134/BKMS.2016.53.2.541

Copyright © The Korean Mathematical Society.

Wiener's lemma for infinite matrices of Gohberg-Baskakov-Sj\"ostrand class

Chang Eon Shin

Sogang University

Abstract

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In this paper, we introduce a quasi-Banach algebra of infinite matrices, which is inverse-closed in the Banach algebra $ {\mathcal B}(\ell^2)$ of all bounded operators on $\ell^2$.

Keywords: Wiener's lemma, quasi-Banach algebra, inverse-closedness, Gohberg-Baskakov-Sj\"ostrand class, infinite matrix

MSC numbers: 47B37, 47A10, 46A45

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