Linear functional equations in a Hilbert module (Q1417176)
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scientific article; zbMATH DE number 2020352
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear functional equations in a Hilbert module |
scientific article; zbMATH DE number 2020352 |
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Linear functional equations in a Hilbert module (English)
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2003
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The generalized Hyers-Ulam-Rassias stability of invertible mappings in a~Banach module over a~unital Banach algebra and the generalized Hyers-Ulam-Rassias stability of linear functional equations in a Hilbert module over a unital \(C^{\ast}\)-algebra are proved. Almost the same results were proved by \textit{C.-G. Park} [Soochow J. Math. 29, No. 3, 283--291 (2003; Zbl 1044.39020)], so for more precise review the reader is referred to that review. In two papers in question there are no references to each other.
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\(A\)-linear mapping
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Banach module over Banach algebra
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Hilbert module over \(C^{\ast}\)-algebra
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Hyers-Ulam-Rassias stability
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linear functional equations
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