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)

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$S$-invariant subspaces of $L^p(\mathbf {T})$
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by D. A. Redett
Proc. Amer. Math. Soc. 133 (2005), 1459-1461
DOI: https://doi.org/10.1090/S0002-9939-04-07760-3
Published electronically: November 22, 2004
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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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Bibliographic Information
  • D. A. Redett
  • Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368
  • MR Author ID: 751935
  • Email: redett@math.tamu.edu
  • 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
  • © Copyright 2004 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 1459-1461
  • MSC (2000): Primary 47A15; Secondary 46E30
  • DOI: https://doi.org/10.1090/S0002-9939-04-07760-3
  • MathSciNet review: 2111945