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Invariant Subspaces and Spectral Conditions on Operator Semigroups

1997
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Banach Center Publications
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Introduction. Let H be a complex Hilbert space of finite or infinite dimension, and let E be a collection of bounded linear operators on H. We say E is reducible if there exists a subspace of H, closed by definition and different from the trivial subspaces {0} and H which is invariant under every member of E. We call E triangularizable if the set of invariant subspaces under E contains a maximal subspace chain. These questions have been studied extensively and the central problems in the

doi:10.4064/-38-1-287-296
fatcat:bdzahayvejfsngzpoyyjvavhki