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Noncommutative Köthe duality

Peter G. Dodds( Ben de Pagter) Department of Mathematics, Delft University of Technology, Ju-lianalaan 132, NL-2628 BL Delft, The NetherlandsTheresa K.-Y. Dodds( Ben de Pagter) Department of Mathematics, Delft University of Technology, Ju-lianalaan 132, NL-2628 BL Delft, The NetherlandsB. de Pagter( Ben de Pagter) Department of Mathematics, Delft University of Technology, Ju-lianalaan 132, NL-2628 BL Delft, The Netherlands
1993en
ABI

Аннотация

Using techniques drawn from the classical theory of rearrangement invariant Banach function spaces we develop a duality theory in the sense of Köthe for symmetric Banach spaces of measurable operators affiliated with a semifinite von Neumann algebra equipped with a distinguished trace. A principal result of the paper is the identification of the Köthe dual of a given Banach space of measurable operators in terms of normality.

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