A characterizing property of commutative Banach algebras may not be sufficient only on the invertible elements

Sebastian, Geethika and D, Sukumar (2018) A characterizing property of commutative Banach algebras may not be sufficient only on the invertible elements. Comptes Rendus Mathematique, 356 (6). pp. 594-596. ISSN 1631-073X

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Abstract

In this article, we construct a commutative unital Banach algebra, in which the property is true for the invertible elements, but cannot be extended to the whole algebra. Résumé Dans cette Note, nous construisons une algèbre de Banach unitaire, commutative, dans laquelle l'identité est vraie pour les éléments inversibles, mais ne peut être étendue à toute l'algèbre.

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IITH Creators:	IITH Creators ORCiD D, Sukumar UNSPECIFIED
Item Type:	Article
Subjects:	Mathematics
Divisions:	Department of Mathematics
Depositing User:	Team Library
Date Deposited:	31 Oct 2018 10:05
Last Modified:	31 Oct 2018 10:05
URI:	http://raiithold.iith.ac.in/id/eprint/4507
Publisher URL:	http://doi.org/10.1016/j.crma.2018.05.002
OA policy:	http://www.sherpa.ac.uk/romeo/issn/1631-073X/
Related URLs:	Google Scholar

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