Analytic properties of the spectrum in Banach Jordan systems (Q1924841)

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scientific article; zbMATH DE number 937452
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Analytic properties of the spectrum in Banach Jordan systems
scientific article; zbMATH DE number 937452

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    Analytic properties of the spectrum in Banach Jordan systems (English)
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    21 November 1996
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    For Banach Jordan algebras and pairs the spectrum is proved to be related to the spectrum in a Banach algebra. Consequently, it is an analytic multifunction, upper semicontinuous with a dense \(G_\delta\)-set of points of continuity, and the scarcity theorem holds.
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    Banach Jordan pairs
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    Banach Jordan algebras
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    spectrum
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    analytic multifunction
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    upper semicontinuous
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    scarcity theorem
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