A Generalization of Gelfand-Mazur Theorem

Sung Guen Kim

doi:10.1155/S0161171293000481

A Generalization of Gelfand-Mazur Theorem

Sung Guen Kim

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper, we show that if A is a unital semisimple complex Banach algebra with only the trivial idempotents and if σΑ(x) is countable for each x ∈ Fr(G(A)), then A ≅ C, this generalizes the Gelfand-Mazur theorem.

Original language	English
Pages (from-to)	401-402
Number of pages	2
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	16
Issue number	2
DOIs	https://doi.org/10.1155/S0161171293000481
State	Published - 1993

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AB - In this paper, we show that if A is a unital semisimple complex Banach algebra with only the trivial idempotents and if σΑ(x) is countable for each x ∈ Fr(G(A)), then A ≅ C, this generalizes the Gelfand-Mazur theorem.

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A Generalization of Gelfand-Mazur Theorem

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