Banach Journal of Mathematical Analysis

Superstability of multipliers and ring derivations on Banach algebras

Go Hirasawa, Takeshi Miura, Hirokazu Oka, and Sin-Ei Takahasi

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In this paper, we will consider Hyers-Ulam-Rassias stability of multipliers and ring derivations between Banach algebras. As a corollary, we will prove superstability of ring derivations and multipliers. That is, approximate multipliers and approximate ring derivations are exact multipliers and ring derivations.

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Banach J. Math. Anal., Volume 1, Number 1 (2007), 125-130.

First available in Project Euclid: 21 April 2009

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Primary: 46J10: Banach algebras of continuous functions, function algebras [See also 46E25]

Hyers-Ulam-Rassias stability multipliers ring derivations


Miura, Takeshi; Oka, Hirokazu; Hirasawa, Go; Takahasi, Sin-Ei. Superstability of multipliers and ring derivations on Banach algebras. Banach J. Math. Anal. 1 (2007), no. 1, 125--130. doi:10.15352/bjma/1240321562.

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