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• W90450143 abstract "We generalize the notion of `diagonal' from the class of CSL algebras to masa bimodules. We prove that a reflexive masa bimodule decomposes as a sum of two bimodules, the diagonal and a module generalizing the w*-closure of the Jacobson radical of a CSL algebra. The latter module turns out to be reflexive, a result which is new even for CSL algebras. We show that the projection onto the direct summand contained in the diagonal is contractive and preserves compactness and reduces rank of operators. Stronger results are obtained when the module is the reflexive hull of its rank-one subspace. Keywords: Operator algebras, reflexivity, TRO, masa-bimodules" @default.
• W90450143 created "2016-06-24" @default.
• W90450143 creator A5027006719 @default.
• W90450143 date "2004-12-07" @default.
• W90450143 modified "2023-09-27" @default.
• W90450143 title "Decompositions of Reflexive Bimodules over Maximal Abelian Selfadjoint Algebras" @default.
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