On \(C^*\)-algebras satisfying spectral maximum principles (Q912361)

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scientific article; zbMATH DE number 4144746
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English
On \(C^*\)-algebras satisfying spectral maximum principles
scientific article; zbMATH DE number 4144746

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    On \(C^*\)-algebras satisfying spectral maximum principles (English)
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    1989
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    Referring to a result by \textit{E. Vesentini} [Ann. Scuola Norm. Sup. Pisa 26(3), 933-943 (1972; Zbl 0257.46046)] and various other results the author presents a theorem where various conditions are equivalent to the condition that a \(C^*\)-algebra satisfies the spectral maximum principle. Counterexamples are given to show that some of these equivalent conditions do not hold good in a more general setting when the condition of being a \(C^*\)-algebra is not necessarily assumed.
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    \(C^*\)-algebra
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    spectral maximum principle
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