Pinchings and Positive linear maps
Functional Analysis
2015-05-12 v1 Operator Algebras
Abstract
We employ the pinching theorem, ensuring that some operators A admit any sequence of contractions as an operator diagonal of A, to deduce/improve two recent theorems of Kennedy-Skoufranis and Loreaux-Weiss for conditional expectations onto a masa in the algebra of operators on a Hilbert space. We also get a few results for sums in a unitary orbit.
Cite
@article{arxiv.1505.02341,
title = {Pinchings and Positive linear maps},
author = {Jean-Christophe Bourin and Eun-Young Lee},
journal= {arXiv preprint arXiv:1505.02341},
year = {2015}
}