Good $\ell_2$-subspaces of $L_p$, $p>2$

Good $\ell_2$-subspaces of $L_p$, $p>2$

Dale E. Alspach

Source: Banach J. Math. Anal. Volume 3, Number 2 (2009), 49-54.

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.

First Page: Show

Primary Subjects: 46B20

Secondary Subjects: 46E30

Keywords: types; projection; Central Limit Theorem

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.bjma/1261086708
Mathematical Reviews number (MathSciNet): MR2517298
Zentralblatt MATH identifier: 05702385

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