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