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-invariant subspaces of
Author(s):
D.
A.
Redett
Journal:
Proc. Amer. Math. Soc.
133
(2005),
1459-1461.
MSC (2000):
Primary 47A15;
Secondary 46E30
Posted:
November 22, 2004
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Abstract:
In this note, we give a new proof of the characterization of the -invariant subspaces of for in using ideas from approximation theory.
References:
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- 1.
- I. Erdelyi (editor), Operator Theory and functional analysis, Research Notes in Mathematics, Pitman Advanced Publishing Program, 1979. MR 0579015 (81e:47003)
- 2.
- P. R. Halmos, Shifts on Hilbert spaces, J. Reine Angew. Math., 208 (1961), 102-112. MR 0152896 (27:2868)
- 3.
- H. Helson, Lectures on invariant subspaces, Academic Press, 1964. MR 0171178 (30:1409)
- 4.
- W. Rudin, Real and Complex Analysis, 3rd Edition, McGraw-Hill, 1987. MR 0924157 (88k:00002)
- 5.
- Harold S. Shapiro, Topics in Approximation Theory, Springer-Verlag, Lecture Notes in Mathematics 187, 1971. MR 0437981 (55:10902)
- 6.
- Dinesh Singh and Sanjeev Agrawal, DeBranges Spaces Contained in some Banach Spaces of Analytic Functions, Illinois Journal of Math., 39 no. 3(1995), 351-357. MR 1339831 (96d:46021)
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Additional Information:
D.
A.
Redett
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368
Email:
redett@math.tamu.edu
DOI:
10.1090/S0002-9939-04-07760-3
PII:
S 0002-9939(04)07760-3
Received by editor(s):
November 17, 2003
Received by editor(s) in revised form:
January 23, 2004
Posted:
November 22, 2004
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2004,
American Mathematical Society
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