Noncommutative köthe duality

Peter G. Dodds; Theresa K.Y. Dodds; Ben De Pagter

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

Noncommutative köthe duality

Peter G. Dodds
, Theresa K.Y. Dodds
, Ben De Pagter

Research output: Contribution to journal › Article › peer-review

189 Citations (Scopus)

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.

Original language	English
Pages (from-to)	717-750
Number of pages	34
Journal	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume	339
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9947-1993-1113694-3
Publication status	Published - Oct 1993

Keywords

Köthe duality
Measurable operators
Normality
Rearrangement invariant Banach function spaces

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title = "Noncommutative k{\"o}the duality",

abstract = "Using techniques drawn from the classical theory of rearrangement invariant Banach function spaces we develop a duality theory in the sense of K{\"o}the 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 K{\"o}the dual of a given Banach space of measurable operators in terms of normality.",

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AU - Dodds, Theresa K.Y.

AU - De Pagter, Ben

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AB - 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.

KW - Köthe duality

KW - Measurable operators

KW - Normality

KW - Rearrangement invariant Banach function spaces

UR - https://www.scopus.com/pages/publications/0000214853

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DO - 10.1090/S0002-9947-1993-1113694-3

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AN - SCOPUS:0000214853

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JO - TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

JF - TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

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ER -

Noncommutative köthe duality

Abstract

Keywords

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