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Algebra i Analiz, 2022, Volume 34, Issue 3, Pages 276–295 (Mi aa1821)  
Research Papers

Chapter 7. Angles between invariant subspaces

V. I. Vasyuninab

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
b Saint Petersburg State University
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Abstract: This paper is a chapter from the continuation of a survey by the author and N. K. Nikolski published in 1998. It contains two theorems describing when an invariant subspace has an invariant complement and when the angle between two given invariant subspaces is positive. The presentation involves the technique of the coordinate-free function model.
Keywords: function model, invariant complement, unitary dilation, contraction.
Received: 20.01.2022
English version:
St. Petersburg Mathematical Journal, 2023, Volume 34, Issue 3, Pages 515–529
DOI: https://doi.org/10.1090/spmj/1767
Document Type: Article
Language: English
Citation: V. I. Vasyunin, “Chapter 7. Angles between invariant subspaces”, Algebra i Analiz, 34:3 (2022), 276–295; St. Petersburg Math. J., 34:3 (2023), 515–529
Citation in format AMSBIB
\Bibitem{Vas22}
\by V.~I.~Vasyunin
\paper Chapter 7. Angles between invariant subspaces
\jour Algebra i Analiz
\yr 2022
\vol 34
\issue 3
\pages 276--295
\mathnet{http://mi.mathnet.ru/aa1821}
\transl
\jour St. Petersburg Math. J.
\yr 2023
\vol 34
\issue 3
\pages 515--529
\crossref{https://doi.org/10.1090/spmj/1767}
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