Normal contractive projections preserve type
Operator Algebras
2007-05-23 v1 Functional Analysis
Abstract
Given a JBW*-triple Z and a normal contractive projection P on Z, we show that the (Murray-von Neumann) type of each summand of P(Z) is dominated by the type of Z.
Cite
@article{arxiv.math/0201188,
title = {Normal contractive projections preserve type},
author = {Cho-Ho Chu and Matthew Neal and Bernard Russo},
journal= {arXiv preprint arXiv:math/0201188},
year = {2007}
}
Comments
26 pages, latex, submitted in July 2001