Stability of multipliers on Banach algebras
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 stabi...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204402324 |
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| Summary: | 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. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |