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.
Original languageEnglish
Pages (from-to)317-337
Number of pages21
JournalIsrael Journal of Mathematics
Volume215
Issue number1
Early online date28 Sep 2016
DOIs
Publication statusPublished - Sep 2016

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