CAUCHY-RASSIAS STABILITY OF DERIVATIONS ON QUASI-BANACH ALGEBRAS

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Published: May 15, 2007
DOI: https://doi.org/10.14403/jcms.2007.20.2.173
Keywords:
Cauchy functional equation, Jensen functional equation, quasi-Banach algebra, p-Banach algebra, Cauchy-Rassias stability, derivation
Mathematics Subject Classification (2020):
Primary 39B52, 39B82, 47B47

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Jong Su An
Department of Mathematics Education, Pusan National University
Deok-Hoon Boo
Department of Mathematics, Chungnam National University
Choonkil Park
Department of Mathematics, Hanyang University

Abstract





In this paper, we prove the Cauchy-Rassias stability of derivations on quasi-Banach algebras associated to the Cauchy functional equation and the Jensen functional equation. We use the Cauchy-Rassias inequality that was first introduced by Th. M. Rassias in the paper "On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300".





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Article Details

Issue
Vol. 20 No. 2 (2007)
Section
Articles