Multilinear trif \(d\)-mappings in Banach modules over a \(C^*\)-algebra (Q2566514)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multilinear trif \(d\)-mappings in Banach modules over a \(C^*\)-algebra |
scientific article |
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Multilinear trif \(d\)-mappings in Banach modules over a \(C^*\)-algebra (English)
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26 September 2005
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The author defines a multlinear Trif \(d\)-mapping and then proves the very interesting new result that the multilinear Trif \(d\)-mapping defined in Banach modules over a unital \(C^*\)-algebra satisfies the generalized Hyers--Ulam stability. The proof is presented in a precise and elegant way.
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functional equation
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Banach module over \(C^*\)-algebra
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stability
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Cauchy equation
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unitary group
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Hyers--Ulam stability
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