Completely contractive projections on operator algebras
Abstract
The main goal of this paper is to find operator algebra variants of certain deep results of Stormer, Friedman and Russo, Choi and Effros, Effros and Stormer, Robertson and Youngson, Youngson, and others, concerning projections on C*-algebras and their ranges. (See papers of these authors referenced in the bibliography.) In particular we investigate the `bicontractive projection problem' and related questions in the category of operator algebras. To do this, we will add the ingredient of `real positivity' from recent papers of the first author with Read.
Cite
@article{arxiv.1508.01530,
title = {Completely contractive projections on operator algebras},
author = {David P. Blecher and Matthew Neal},
journal= {arXiv preprint arXiv:1508.01530},
year = {2016}
}
Comments
To appear Pacific J Math; several corrections and small improvements. Keywords Operator algebra, completely contractive map, projection, conditional expectation, bicontractive projection, real positive, noncommutative Banach-Stone theorem