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A Helson-Lowdenslager-deBranges Theorem in 
Author(s):
Vern
I.
Paulsen;
Dinesh
Singh
Journal:
Proc. Amer. Math. Soc.
129
(2001),
1097-1103.
MSC (1991):
Primary 47A15
Posted:
October 31, 2000
MathSciNet review:
1814147
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References |
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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:
-
- 1.
- L. de Branges, Square Summable Power Series, (To appear). MR 35:5909
- 2.
- H. Helson, Harmonic Analysis, Hindustan Book Agency (1995). MR 96m:42001
- 3.
- H. Helson and D. Lowdenslager, Invariant subspaces, Proc. Int. Symp. Linear Spaces, Jerusalem, (1960) 251-262, Macmillan. MR 28:487
- 4.
- K. Hoffman, Banach Spaces of Analytic Functions, Prentice Hall, (1962). MR 24:A2844
- 5.
- M. Rosenblum and J. Rovnjak, Hardy Classes and Operator Theorem, Oxford University Press (1985).
- 6.
- D. Sarason, Shift invariant spaces from the Brangesian point of view. The Bieberbach Conjecture-Proceedings of the Symposium of the Occasion of the Proof, Amer. Math. Soc. (1986). MR 88d:47014a
- 7.
- D. Sarason, Sub-Hardy Hilbert Spaces in the Unit Disk, John Wiley and Sons (1994). MR 96k:46039
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Additional Information:
Vern
I.
Paulsen
Affiliation:
Department of Mathematics, University of Houston, Houston, Texas 77204-3476
Email:
vern@math.uh.edu
Dinesh
Singh
Affiliation:
Department of Mathematics, University of Delhi, Delhi-110007, India
Email:
dinesh_singh@hotmail.com
DOI:
10.1090/S0002-9939-00-05716-6
PII:
S 0002-9939(00)05716-6
Keywords:
Helson-Lowdenslager theorem,
de Branges' theorem,
contractively contained
Received by editor(s):
June 30, 1999
Posted:
October 31, 2000
Communicated by:
David R. Larson
Copyright of article:
Copyright
2000,
American Mathematical Society
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