[KSCI] Korea Science Citation Index Service

ALMOST HOMOMORPHISMS BETWEEN BANACH ALGEBRAS

Lee, Sung Jin (Department of Mathematics Daejin University)
Park, Choonkil (Department of Mathematics Hanyang University)

Publication Information

Korean Journal of Mathematics / v.18, no.1, 2010 , pp. 1-10 More about this Journal

Abstract

It is shown that for an almost algebra homomorphism between Banach algebras, there exists a unique algebra homomorphism near the almost algebra homomorphism. Moreover, we prove that for an almost algebra ${\ast}$ -homomorphism between $C^{\ast}$ -algebras, there exists a unique algebra ${\ast}$ -homomorphism near the almost algebra ${\ast}$ -homomorphism, and that for an almost algebra ${\ast}$ -homomorphism between $JB^{\ast}$ -algebras, there exists a unique algebra ${\ast}$ -homomorphism near the almost algebra ${\ast}$ -homomorphism.

Keywords

almost homomorphism; $C^{\ast}$ -algebra; $JB^{\ast}$ -algebra; stability; functional equation;

Citations & Related Records

Reference

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