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A Helson-Lowdenslager-deBranges Theorem in $L^2$

Authors: Vern I. Paulsen and Dinesh Singh
Journal: Proc. Amer. Math. Soc. 129 (2001), 1097-1103
MSC (1991): Primary 47A15
Published electronically: October 31, 2000
MathSciNet review: 1814147
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Abstract | References | Similar Articles | Additional Information


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 [Enhancements On Off] (What's this?)

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Additional Information

Vern I. Paulsen
Affiliation: Department of Mathematics, University of Houston, Houston, Texas 77204-3476

Dinesh Singh
Affiliation: Department of Mathematics, University of Delhi, Delhi-110007, India

Keywords: Helson-Lowdenslager theorem, de Branges' theorem, contractively contained
Received by editor(s): June 30, 1999
Published electronically: October 31, 2000
Communicated by: David R. Larson
Article copyright: © Copyright 2000 American Mathematical Society