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Segal extensions and Segal algebras in uniform Banach algebras

Authors :
Prakash A. Dabhi
Subhash J. Bhatt
Source :
Indian Journal of Pure and Applied Mathematics. 52:162-167
Publication Year :
2021
Publisher :
Springer Science and Business Media LLC, 2021.

Abstract

Segal extensions, not necessarily injective, of a Banach algebra into a Banach algebra are discussed resulting into answering when do the Gelfand map of a commutative Banach algebra as well as Gelfand-Naimark construction on a, not necessarily commutative, Banach $$*$$ -algebra give Segal extensions. Analogous to $$C^*$$ -Segal algebras arising from Segal extension into $$C^*$$ - algebras, uB-Segal algebras arising from Segal extensions into uniform Banach algebras are intrinsically characterized.

Details

ISSN :
09757465 and 00195588
Volume :
52
Database :
OpenAIRE
Journal :
Indian Journal of Pure and Applied Mathematics
Accession number :
edsair.doi...........f583c8d6557fe62c639c24bf4ea31a53