Nest algebras in $c_1$
Functional Analysis
2009-09-25 v1
Abstract
In this paper we address some basic questions of the Banach space structure of the nest algebras in the trace class; in particular, we study whether any two of them are isomorphic to each other, and show that the nest algebras in the trace class have bases. We construct three non-isomorphic examples of nest algebras in ; present a new proof of the primarity of (Arazy, [Ar1], [Ar2]), and prove that , and the nest algebras in are primary.
Cite
@article{arxiv.math/9402209,
title = {Nest algebras in $c_1$},
author = {Alvaro Arias},
journal= {arXiv preprint arXiv:math/9402209},
year = {2009}
}