Invariant subspaces and Deddens algebras
classification
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math.OA
keywords
closeddeddensalgebraalgebrasassociatedbanachcomplexhyperinvariant
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It is shown that if the Deddens algebra ${\mathcal D}_T$ associated with a quasinilpotent operator $T$ on a complex Banach space is closed and localizing then $T$ has a nontrivial closed hyperinvariant subspace.
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