Noncommutative Köthe duality

Dodds, Peter G.; Dodds, Theresa K.-Y.; de Pagter, Ben

doi:10.1090/S0002-9947-1993-1113694-3

Noncommutative Köthe duality
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by Peter G. Dodds, Theresa K.-Y. Dodds and Ben de Pagter PDF

Trans. Amer. Math. Soc. 339 (1993), 717-750 Request permission

Abstract:

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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