Superstability of multiplicative linear mappings

Ehsan Anjidani; Esmaeil Ansari-Piri

doi:10.4134/CKMS.2011.26.2.253

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Commun. Korean Math. Soc. 2011; 26(2): 253-259

Printed June 1, 2011

https://doi.org/10.4134/CKMS.2011.26.2.253

Superstability of multiplicative linear mappings

Ehsan Anjidani and Esmaeil Ansari-Piri

University of Guilan, University of Guilan

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Abstract

Let $A$ and $B$ be Banach algebras with unit. Here we prove that an approximate algebra homomorphism $f:A\rightarrow B$, in the sense of Rassias, is an algebra homomorphism.

Keywords: stability of functional equation, superstability, algebra homomorphism

MSC numbers: 39B82

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Superstability of multiplicative linear mappings

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