Schur idempotents and hyperreflexivity

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Title: Schur idempotents and hyperreflexivity
Authors: Eleftherakis, G. K.
Levene, Rupert H.
Todorov, Ivan G.
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Date: Sep-2016
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. 
Type of material: Journal Article
Publisher: Springer
Copyright (published version): 2016 Springer
Keywords: Arveson’s distance formulaHilbert spaceHyperreflexive ranges
DOI: 10.1007/s11856-016-1380-z
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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