Operator algebras with contractive approximate identities: Weak compactness and the spectrum
Operator Algebras
2014-07-08 v1 Functional Analysis
Abstract
We continue our study of operator algebras with contractive approximate identities (cais) by presenting a couple of interesting examples of operator algebras with cais, which in particular answer questions raised in previous papers in this series, for example about whether, roughly speaking, `weak compactness' of an operator algebra, or the lack of it, can be seen in the spectra of its elements.
Cite
@article{arxiv.1407.1349,
title = {Operator algebras with contractive approximate identities: Weak compactness and the spectrum},
author = {David P. Blecher and Charles John Read},
journal= {arXiv preprint arXiv:1407.1349},
year = {2014}
}
Comments
11 pages. To appear Journal of Functional Analysis. arXiv admin note: substantial text overlap with arXiv:1308.2723