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arXiv:2003.09399 [math.FA]AbstractReferencesReviewsResources

The invariant subspaces of $ S\oplus S^* $

Dan Timotin

Published 2020-03-20Version 1

Using the tools of Sz.-Nagy--Foias theory of contractions, we describe in detail the invariant subspaces of the operator $ S\oplus S^* $, where $ S $ is the unilateral shift on a Hilbert space. This answers a question of C\^amara and Ross.

Categories: math.FA
Subjects: 47A15, 47A45, 47B37
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