[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2011.19.1.033

FUNCTIONAL EQUATIONS IN BANACH MODULES AND APPROXIMATE ALGEBRA HOMOMORPHISMS IN BANACH ALGEBRAS

Boo, Deok-Hoon (Department of Mathematics Chungnam National University)
Kenary, Hassan Azadi (Department of Mathematics College of Science Yasouj University)
Park, Choonkil (Department of Mathematics Research Institute for Natural Sciences Hanyang University)

Publication Information

Korean Journal of Mathematics / v.19, no.1, 2011 , pp. 33-52 More about this Journal

Abstract

We prove the Hyers-Ulam stability of partitioned functional equations in Banach modules over a unital $C^*$ -algebra. It is applied to show the stability of algebra homomorphisms in Banach algebras associated with partitioned functional equations in Banach algebras.

Keywords

unitary group; partitioned functional equation; approximate algebra homomorphism; Banach module over $C^*$ -algebra; stability;

Citations & Related Records

Reference

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