Invariant subspaces and Deddens algebras

2014/03/20 by Miguel Lacruz, Lacruz, Miguel
Mathematics · #47A15 #47L10 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #math.FA #math.OA #msc:47A15 #msc:47L10

paper · pdf · doi:10.48550/arxiv.1403.5093

4 pages, to appear in Expo. Math

arxiv created 2014/03/20 · arxiv updated 2014/03/21

Abstract

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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