The invariant subspaces of $ S\oplus S^* $
Functional Analysis
2020-03-24 v2
Abstract
Using the tools of Sz.-Nagy--Foias theory of contractions, we describe in detail the invariant subspaces of the operator , where is the unilateral shift on a Hilbert space. This answers a question of C\^amara and Ross.
Cite
@article{arxiv.2003.09399,
title = {The invariant subspaces of $ S\oplus S^* $},
author = {Dan Timotin},
journal= {arXiv preprint arXiv:2003.09399},
year = {2020}
}
Comments
11 pages. Theorem 4.4 corrected