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• W2949403957 abstract "For an operator bimodule $X$ over von Neumann algebras $Asubseteqbh$ and $Bsubseteqbk$, the space of all completely bounded $A,B$-bimodule maps from $X$ into $bkh$, is the bimodule dual of $X$. Basic duality theory is developed with a particular attention to the Haagerup tensor product over von Neumann algebras. To $X$ a normal operator bimodule $nor{X}$ is associated so that completely bounded $A,B$-bimodule maps from $X$ into normal operator bimodules factorize uniquely through $nor{X}$. A construction of $nor{X}$ in terms of biduals of $X$, $A$ and $B$ is presented. Various operator bimodule structures are considered on a Banach bimodule admitting a normal such structure." @default.
• W2949403957 created "2019-06-27" @default.
• W2949403957 creator A5049375951 @default.
• W2949403957 date "2003-07-07" @default.
• W2949403957 modified "2023-09-27" @default.
• W2949403957 title "Duality and Normal Parts of Operator Modules" @default.
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• W2949403957 hasPublicationYear "2003" @default.
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