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Zbl 1129.46040
Miura, Takeshi; Oka, Hirokazu; Hirasawa, Go; Takahasi, Sin-Ei
Superstability of multipliers and ring derivations on Banach algebras. (English)
[J] Banach J. Math. Anal. 1, No. 1, 125-130, electronic only (2007). ISSN 1735-8787/e

Summary: We consider Hyers--Ulam--Rassias stability of multipliers and ring derivations between Banach algebras. As a corollary, we prove superstability of ring derivations and multipliers. That is, approximate multipliers and approximate ring derivations are exact multipliers and ring derivations.
MSC 2000:
*46H05 General theory of topological algebras
39B82 Stability, separation, extension, and related topics
47B47 Derivations and linear operators defined by algebraic conditions

Keywords: Hyers-Ulam-Rassias stability; super-stability; multipliers; ring derivations

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