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2. Stability of multipliers on Banach algebras

Author

Takeshi Miura, Go Hirasawa, and Sin-Ei Takahasi

Subjects
Mathematics, QA1-939
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.

Published
2004
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3. Stability of multipliers on Banach algebras

Author

Sin-Ei Takahasi, Go Hirasawa, and Takeshi Miura

Subjects
Discrete mathematics, Mathematics::Functional Analysis, Mathematics (miscellaneous), lcsh:Mathematics, Multiplier (economics), lcsh:QA1-939, Mathematics
Abstract

SupposeAis a Banach algebra without order. We show that an approximate multiplierT:A→Ais an exact multiplier. We also consider an approximate multiplierTon a Banach algebra which need not be without order. If, in addition,Tis approximately additive, then we prove the Hyers-Ulam-Rassias stability ofT.

Published
2004

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