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Russian Mathematical Surveys, 2018, Volume 73, Issue 1, Pages 31–90
DOI: https://doi.org/10.1070/RM9793 (Mi rm9793) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Halmos problems and related results in the theory of invariant subspaces

V. I. Lomonosova, V. S. Shulmanb

a Kent State University, USA
b Vologda State University
English version PDF (913 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/RM9793
Abstract: This paper contains a survey of main results in the theory of invariant subspaces that have a direct or intermediate connection with the well-known list of problems in operator theory posed by Halmos in 1970. For most results we present brief proofs, schemes of proofs, or basic ideas of proofs.
Bibliography: 124 titles.
Keywords: Banach space, linear operator, operator algebra, invariant subspace.
Received: 22.08.2017
Revised: 16.10.2017
Bibliographic databases:
Document Type: Article
UDC: 517
MSC: Primary 47A15; Secondary 47L10, 47L30
Language: English
Original paper language: Russian
Citation: V. I. Lomonosov, V. S. Shulman, “Halmos problems and related results in the theory of invariant subspaces”, Russian Math. Surveys, 73:1 (2018), 31–90
Citation in format AMSBIB
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\paper Halmos problems and related results in the theory of invariant subspaces
\jour Russian Math. Surveys
\yr 2018
\vol 73
\issue 1
\pages 31--90
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  • https://doi.org/10.1070/RM9793
  • https://www.mathnet.ru/eng/rm/v73/i1/p35
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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