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arXiv · 1407.1349

Operator algebras with contractive approximate identities: Weak compactness and the spectrum

David P. Blecher·Charles John Read
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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.

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David P. Blecher, Charles John Read. 2014-07-05. Operator algebras with contractive approximate identities: Weak compactness and the spectrum. https://doi.org/10.1016/j.jfa.2014.06.007

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