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arXiv · 1502.01530

Schur idempotents and hyperreflexivity

G. K. Eleftherakis·R. H. Levene·I. G. Todorov
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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.

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G. K. Eleftherakis, R. H. Levene, I. G. Todorov. 2015-07-14. Schur idempotents and hyperreflexivity. https://doi.org/10.1007/s11856-016-1380-z

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