Projective Extensions of Banach Algebras

Andy R. Magid

doi:10.2307/2040772

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Projective Extensions of Banach Algebras

Andy R. Magid

Year: 1976 Journal: Proceedings of the American Mathematical Society Vol: 54 (1)Pages: 154-154 Publisher: American Mathematical Society

DOI: 10.2307/2040772

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Abstract

It is shown that if $A$ is a commutative Banach algebra and $B$ a faithful $A$-algebra finitely generated and projective as an $A$-module then $B$ can be endowed with a structure of Banach algebra extending that of $A$.

Keywords:

Banach algebra Mathematics Commutative property Pure mathematics Division algebra Algebra over a field Projective test Algebra representation Banach space

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Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Advanced Banach Space Theory

Physical Sciences → Mathematics → Mathematical Physics

Advanced Operator Algebra Research

Physical Sciences → Mathematics → Mathematical Physics

Projective Extensions of Banach Algebras

Abstract

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