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Invariant subspaces of collectively compact sets of linear operators - MaRDI portal

Invariant subspaces of collectively compact sets of linear operators (Q931385)

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scientific article; zbMATH DE number 5292836
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Invariant subspaces of collectively compact sets of linear operators
scientific article; zbMATH DE number 5292836

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    Invariant subspaces of collectively compact sets of linear operators (English)
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    25 June 2008
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    The authors introduce some invariant subspace results for collectively compact families of operators and they also show that any collectively compact set of operators satisfies the Berger--Wang formula [\textit{M.\,A.\thinspace Berger} and \textit{Y.\,Wang}, Linear Algebra Appl.\ 166, 21--27 (1992; Zbl 0818.15006)] in a special case.
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    collectively compact set
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    multiplicative semigroup of operators
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    invariant subspace
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    hyperinvariant subspace
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    Berger-Wang formula
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    Volterra semigroup
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    spectral radius
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