On tuples of commuting compact operators (Q1361237)

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scientific article; zbMATH DE number 1038655
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On tuples of commuting compact operators
scientific article; zbMATH DE number 1038655

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    On tuples of commuting compact operators (English)
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    19 January 1998
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    Summary: The joint spectrum of commuting operators, as introduced by Taylor, has been shown by Chō and Takaguchi to be the set of joint eigenvalues in the case of matrices. These joint eigenvalues can be read off from their simultaneous uppertriangularization. We prove here a similar result for compact operators on Banach spaces.
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    joint spectrum of commuting operators
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    joint eigenvalues
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    simultaneous uppertriangularization
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    compact operators on Banach spaces
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