Journal of Operator Theory

Volume 50, Issue 2, Fall 2003 pp. 211-220.

Compressions and pinchings

Authors: Jean-Christophe Bourin
Author institution: Les Coteaux, rue Henri Durel 78510 Triel, France

Summary: There exist operators

$A$ such that for any sequence of contractions

$\{ A_n\}$ , there is a total sequence of mutually orthogonal projections

$\{ E_n\}$ such that

$\sum E_nAE_n=\bigoplus A_n$ .

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