Noncommutative boyd interpolation theorems revisited

Peter Dodds; Theresa Dodds

doi:10.1007/978-3-030-10850-2_7

Noncommutative boyd interpolation theorems revisited

Peter Dodds, Theresa Dodds

College of Science and Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Citation (Scopus)

Abstract

If E is a fully symmetric space on (0, ∞), we show that the corresponding noncommutative space E(τ) of τ-measurable operators is an interpolation space for the noncommutative pair (L₁(τ), L_q(τ)) provided 1 ≤ q_E < q, where q_E is the upper Boyd index.

Original language	English
Title of host publication	Trends in Mathematics
Editors	Gerard Buskes, Peter Dodds, Fedor Sukochev, Anthony Wickstead, Marcel de Jeu, Anton Schep, Jan van Neerven
Place of Publication	Cham
Publisher	Springer International Publishing
Chapter	7
Pages	131-152
Number of pages	22
ISBN (Electronic)	9783030108502
ISBN (Print)	9783030108496
DOIs	https://doi.org/10.1007/978-3-030-10850-2_7
Publication status	Published - 2019

Publication series

Name	Trends in Mathematics
ISSN (Print)	2297-0215
ISSN (Electronic)	2297-024X

Keywords

Measurable operators
Noncommutative interpolation
Noncommutative symmetric spaces
Operators of weak type

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abstract = "If E is a fully symmetric space on (0, ∞), we show that the corresponding noncommutative space E(τ) of τ-measurable operators is an interpolation space for the noncommutative pair (L1(τ), Lq(τ)) provided 1 ≤ qE < q, where qE is the upper Boyd index.",

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Noncommutative boyd interpolation theorems revisited. / Dodds, Peter; Dodds, Theresa.

Trends in Mathematics. ed. / Gerard Buskes; Peter Dodds; Fedor Sukochev; Anthony Wickstead; Marcel de Jeu; Anton Schep; Jan van Neerven. Cham : Springer International Publishing, 2019. p. 131-152 (Trends in Mathematics).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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KW - Noncommutative symmetric spaces

KW - Operators of weak type

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A2 - Buskes, Gerard

A2 - Dodds, Peter

A2 - Sukochev, Fedor

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A2 - Schep, Anton

A2 - van Neerven, Jan

PB - Springer International Publishing

CY - Cham

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Noncommutative boyd interpolation theorems revisited

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