Continuous multiplicative spectral functionals on Hermitian Banach algebras (Q6571092)
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scientific article; zbMATH DE number 7879956
| Language | Label | Description | Also known as |
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| English | Continuous multiplicative spectral functionals on Hermitian Banach algebras |
scientific article; zbMATH DE number 7879956 |
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Continuous multiplicative spectral functionals on Hermitian Banach algebras (English)
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11 July 2024
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The authors prove that any continuous multiplicative spectral functional on a complex unital Hermitian Banach algebra is linear, i.e., it is a character.\N\NThis result generalizes a similar result obtained in the paper [\textit{A.~Maouche}, Colloq. Math. 71, No.~1, 43--45 (1996; Zbl 0890.46042)].
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Banach algebra
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Hermitian algebra
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spectrum
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spectral functional
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character
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linear functionals
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