Operator algebras with contractive approximate identities: Weak compactness and the spectrum
arXiv:1407.1349 · doi:10.1016/j.jfa.2014.06.007
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.
11 pages. To appear Journal of Functional Analysis. arXiv admin note: substantial text overlap with arXiv:1308.2723