On positivity and roots in operator algebras
Operator Algebras
2014-04-03 v3 Mathematical Physics
Functional Analysis
math.MP
Abstract
In earlier papers the second author and Charles Read have introduced and studied a new notion of positivity for operator algebras, with an eye to extending certain C*-algebraic results and theories to more general algebras. The present paper consists of complements to some facts in the just mentioned papers, concerning this notion of positivity. For example we prove a result on the numerical range of products of the roots of commuting operators with numerical range in a sector.
Keywords
Cite
@article{arxiv.1308.2730,
title = {On positivity and roots in operator algebras},
author = {Clifford A. Bearden and David P. Blecher and Sonia Sharma},
journal= {arXiv preprint arXiv:1308.2730},
year = {2014}
}
Comments
11 pages, to appear Integral Equations Operator Theory