Open Access
2009 Good $\ell_2$-subspaces of $L_p$, $p>2$
Dale E. Alspach
Banach J. Math. Anal. 3(2): 49-54 (2009). DOI: 10.15352/bjma/1261086708

Abstract

We give an alternate proof of the result due to Haydon, Odell and Schlumprecht that subspaces of $L_p$, $p>2$, which are isomorphic to $\ell_2$ contain subspaces which are well isomorphic to $\ell_2$ and well complemented.

Citation

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Dale E. Alspach. "Good $\ell_2$-subspaces of $L_p$, $p>2$." Banach J. Math. Anal. 3 (2) 49 - 54, 2009. https://doi.org/10.15352/bjma/1261086708

Information

Published: 2009
First available in Project Euclid: 17 December 2009

zbMATH: 1194.46014
MathSciNet: MR2517298
Digital Object Identifier: 10.15352/bjma/1261086708

Subjects:
Primary: 46B20
Secondary: 46E30

Keywords: central limit theorem , projection , types

Rights: Copyright © 2009 Tusi Mathematical Research Group

Vol.3 • No. 2 • 2009
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