[Banach] Abstract of a paper by William B. Johnson, Naratuka Ozawa, and Gideon Schechtman

This is an announcement for the paper "A quantitative version of the commutator theorem for zero trace matrices" by William B. Johnson, Naratuka Ozawa, and Gideon Schechtman.

Abstract: Let $A$ be a $m\times m$ complex matrix with zero trace and let $\e>0$. Then there are $m\times m$ matrices $B$ and $C$ such that $A=[B,C]$ and $|B||C|\le K_\e m^\e|A|$ where $K_\e$ depends only on $\e$. Moreover, the matrix $B$ can be taken to be normal.

Archive classification: math.FA

Mathematics Subject Classification: 47B47, 15A60

Submitted from: gideon@weizmann.ac.il

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1202.0986

or

http://arXiv.org/abs/1202.0986