Schur idempotents and hyperreflexivity
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|Title:||Schur idempotents and hyperreflexivity||Authors:||Eleftherakis, G. K.
Levene, Rupert H.
Todorov, Ivan G.
|Permanent link:||http://hdl.handle.net/10197/9343||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 formula; Hilbert space; Hyperreflexive 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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