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arXiv · 2003.09399

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

Dan Timotin
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Abstract

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.

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Dan Timotin. 2020-03-20. The invariant subspaces of $ S\oplus S^* $. https://arxiv.org/abs/2003.09399

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