Stability of multipliers on Banach algebras

Takeshi Miura, Go Hirasawa and Sin-Ei Takahasi

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-5

Abstract:

Suppose A is a Banach algebra without order. We show that an approximate multiplier T : A → A is an exact multiplier. We also consider an approximate multiplier T on a Banach algebra which need not be without order. If, in addition, T is approximately additive, then we prove the Hyers-Ulam-Rassias stability of T .

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:808941

DOI: 10.1155/S0161171204402324

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