The problem of S. M. Ulam for approximately multiplicative mappings (Q1577934)
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scientific article; zbMATH DE number 1496298
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The problem of S. M. Ulam for approximately multiplicative mappings |
scientific article; zbMATH DE number 1496298 |
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The problem of S. M. Ulam for approximately multiplicative mappings (English)
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24 October 2000
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The author discusses the celebrated Ulam's problem of describing the functionals satisfying an \(\varepsilon\)-version of multplicative or additive law. The structure of a so-called ANMN-algebra, i.e., an algebra with ``integrity'', that is, whose every approximately miltiplicative functional is near multiplicative.
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approximately multiplicative functional
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\(\varepsilon\)-additivity
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superstability
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near multiplicative
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