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An improved characterization of inessential elements in Banach Jordan systems and the generalized Ruston characterization - MaRDI portal

An improved characterization of inessential elements in Banach Jordan systems and the generalized Ruston characterization (Q1581199)

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scientific article; zbMATH DE number 1508341
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English
An improved characterization of inessential elements in Banach Jordan systems and the generalized Ruston characterization
scientific article; zbMATH DE number 1508341

    Statements

    An improved characterization of inessential elements in Banach Jordan systems and the generalized Ruston characterization (English)
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    14 January 2001
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    The relations between inessential (properly) Riesz and quasi-Fredholm elements in a semi-primitive Banach Jordan system (i.e. an algebra, a triple system, or a pair) are studied. In particular, it is shown that the ideal of all inessential elements coincides with the set of all properly Riesz elements.
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    Banach Jordan system
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    inessential element
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    Riesz element
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    quasi-Fredholm element
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