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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A Helson-Lowdenslager-deBranges Theorem in $L^2$
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by Vern I. Paulsen and Dinesh Singh PDF
Proc. Amer. Math. Soc. 129 (2001), 1097-1103 Request permission

Abstract:

This paper presents a generalization of the invariant subspace theorem of Helson and Lowdenslager along the lines of de Branges’ generalization of Beurling’s theorem.
References
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  • Henry Helson and David Lowdenslager, Invariant subspaces, Proc. Internat. Sympos. Linear Spaces (Jerusalem, 1960) Jerusalem Academic Press, Jerusalem; Pergamon, Oxford, 1961, pp. 251–262. MR 0157251
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  • M. Rosenblum and J. Rovnjak, Hardy Classes and Operator Theorem, Oxford University Press (1985).
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  • Donald Sarason, Sub-Hardy Hilbert spaces in the unit disk, University of Arkansas Lecture Notes in the Mathematical Sciences, vol. 10, John Wiley & Sons, Inc., New York, 1994. A Wiley-Interscience Publication. MR 1289670
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Additional Information
  • Vern I. Paulsen
  • Affiliation: Department of Mathematics, University of Houston, Houston, Texas 77204-3476
  • MR Author ID: 137010
  • ORCID: 0000-0002-2361-852X
  • Email: vern@math.uh.edu
  • Dinesh Singh
  • Affiliation: Department of Mathematics, University of Delhi, Delhi-110007, India
  • Email: dinesh_singh@hotmail.com
  • Received by editor(s): June 30, 1999
  • Published electronically: October 31, 2000
  • Communicated by: David R. Larson
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 1097-1103
  • MSC (1991): Primary 47A15
  • DOI: https://doi.org/10.1090/S0002-9939-00-05716-6
  • MathSciNet review: 1814147