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- W2007965114 abstract "Given a von Neumann algebra R on a Hilbert space H , the so-called R -topology is introduced into B( H ), which is weaker than the norm and stronger than the ultrastrong operator topology. A right R -submodule X of B( H ) is closed in the R -topology if and only if for each b ∈B( H ) the right ideal, consisting of all a ∈ R such that ba ∈ X , is weak* closed in R . Equivalently, X is closed in the R -topology if and only if for each b ∈B( H ) and each orthogonal family of projections e i in R with the sum 1 the condition be i ∈ X for all i implies that b ∈ X ." @default.
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- W2007965114 date "1998-04-01" @default.
- W2007965114 modified "2023-09-29" @default.
- W2007965114 title "A Topology for Operator Modules overW*-Algebras" @default.
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- W2007965114 doi "https://doi.org/10.1006/jfan.1997.3203" @default.
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