On the open ball centered at an invertible element of a Banach algebra

Sebastian, Geethika and D, Sukumar (2018) On the open ball centered at an invertible element of a Banach algebra. Operators and Matrices (1). pp. 19-25. ISSN 1846-3886

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Abstract

Let A be a complex unital Banach algebra. Since the set of invertible elements is open, there is an open ball around every invertible element. In this article, we investigate the Banach algebras for which the radius given by the Neumann series is optimal.

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IITH Creators:
IITH CreatorsORCiD
D, SukumarUNSPECIFIED
Item Type: Article
Subjects: Mathematics
Divisions: Department of Mathematics
Depositing User: Team Library
Date Deposited: 31 Oct 2018 10:01
Last Modified: 31 Oct 2018 10:01
URI: http://raiith.iith.ac.in/id/eprint/4504
Publisher URL: http://doi.org/10.7153/oam-2018-12-02
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