Biderivations and commuting linear maps on topologically simple \(\mathscr{L}^\ast\)-algebras (Q1980375)
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scientific article; zbMATH DE number 7392334
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Biderivations and commuting linear maps on topologically simple \(\mathscr{L}^\ast\)-algebras |
scientific article; zbMATH DE number 7392334 |
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Biderivations and commuting linear maps on topologically simple \(\mathscr{L}^\ast\)-algebras (English)
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8 September 2021
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Summary: Let \(\mathscr{L}\) be a topologically simple \(\mathscr{L}^\ast\)-algebra of arbitrary dimension. In this paper, we introduce the notion of semi-inner biderivation in order to prove that every continuous commuting linear mapping on \(\mathscr{L}\) is a scalar multiple of the identity mapping.
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semi-inner biderivation
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topologically simple algebra
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