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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

$S$-invariant subspaces of $L^p(\mathbf{T})$


Author: D. A. Redett
Journal: Proc. Amer. Math. Soc. 133 (2005), 1459-1461
MSC (2000): Primary 47A15; Secondary 46E30
Published electronically: November 22, 2004
MathSciNet review: 2111945
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Abstract: In this note, we give a new proof of the characterization of the $S$-invariant subspaces of $L^p(\mathbf{T})$ for $p$ in $\mathcal{P}\equiv \{ p : 1 <p < \infty , p \neq 2 \}$ using ideas from approximation theory.


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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: http://dx.doi.org/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
Published electronically: November 22, 2004
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2004 American Mathematical Society