Finite dimensional subspaces of noncommutative $L_p$ spaces

Details Finite dimensional subspaces of noncommutative $L_p$ spaces Finite dimensional subspaces of noncommutative $L_p$ spaces

2007-11-08

arxiv.org/abs/0711.1208v1

Mathematics

Functional Analysis

15 pages

Scientific paper

We prove the following noncommutative version of Lewis's classical result. Every n-dimensional subspace E of Lp(M) (1 Lp(M)$ onto E with $\norm{P}_{cb} \leq c_p n^{\abs{1/2-1/p}}.$ We follow the classical change of density argument with appropriate noncommutative variations in addition to the opposite trick.

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