Schur idempotents and hyperreflexivity
Operator Algebras
2018-08-22 v2 Functional Analysis
Abstract
We show that the set of Schur idempotents with hyperreflexive range is a Boolean lattice which contains all contractions. We establish a preservation result for sums which implies that the weak* closed span of a hyperreflexive and a ternary masa-bimodule is hyperreflexive, and prove that the weak* closed span of finitely many tensor products of a hyperreflexive space and a hyperreflexive range of a Schur idempotent (respectively, a ternary masa-bimodule) is hyperreflexive.
Cite
@article{arxiv.1502.01530,
title = {Schur idempotents and hyperreflexivity},
author = {G. K. Eleftherakis and R. H. Levene and I. G. Todorov},
journal= {arXiv preprint arXiv:1502.01530},
year = {2018}
}