Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A REPRESENTATION FOR NONCOMMUTATIVE BANACH ALGEBRAS

  • PAK HEE CHUL (Department of Applied Mathematics, Dankook University)
  • Published : 2005.01.01

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Abstract

A representation for non-commutative Banach algebras is discussed, which generalizes the Gelfand representation for commutative Banach algebras and the Gelfand-Naimark representation for $C^{\ast}$-algebras. Its basic properties are also investigated. In appendix, an example of Banach algebra that is neither semi-simple nor radical is presented.

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