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Segal extensions and Segal algebras in uniform Banach algebras
- 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.
- Subjects :
- Mathematics::Functional Analysis
Pure mathematics
Mathematics::K-Theory and Homology
Mathematics::Category Theory
Applied Mathematics
General Mathematics
Extension (predicate logic)
Algebra over a field
Mathematics::Algebraic Topology
Commutative property
Banach *-algebra
Injective function
Mathematics
Subjects
Details
- ISSN :
- 09757465 and 00195588
- Volume :
- 52
- Database :
- OpenAIRE
- Journal :
- Indian Journal of Pure and Applied Mathematics
- Accession number :
- edsair.doi...........f583c8d6557fe62c639c24bf4ea31a53