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

3 Citations (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

Access to Document

10.1007/978-3-030-10850-2_7Licence: In Copyright

https://rdcu.be/dBx6qLicence: In Copyright

Cite this

@inbook{dd5d12ed6a544e899c2260fd0b175c22,

title = "Noncommutative boyd interpolation theorems revisited",

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.",

keywords = "Measurable operators, Noncommutative interpolation, Noncommutative symmetric spaces, Operators of weak type",

author = "Peter Dodds and Theresa Dodds",

year = "2019",

doi = "10.1007/978-3-030-10850-2_7",

language = "English",

isbn = " 9783030108496",

series = "Trends in Mathematics",

publisher = "Springer International Publishing",

pages = "131--152",

editor = "Buskes, {Gerard } and Peter Dodds and Fedor Sukochev and Anthony Wickstead and {de Jeu}, {Marcel } and Anton Schep and {van Neerven}, {Jan }",

booktitle = "Trends in Mathematics",

}

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

TY - CHAP

T1 - Noncommutative boyd interpolation theorems revisited

AU - Dodds, Peter

AU - Dodds, Theresa

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

KW - Measurable operators

KW - Noncommutative interpolation

KW - Noncommutative symmetric spaces

KW - Operators of weak type

UR - http://www.scopus.com/inward/record.url?scp=85071450319&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-10850-2_7

DO - 10.1007/978-3-030-10850-2_7

M3 - Chapter

AN - SCOPUS:85071450319

SN - 9783030108496

T3 - Trends in Mathematics

SP - 131

EP - 152

BT - Trends in Mathematics

A2 - Buskes, Gerard

A2 - Dodds, Peter

A2 - Sukochev, Fedor

A2 - Wickstead, Anthony

A2 - de Jeu, Marcel

A2 - Schep, Anton

A2 - van Neerven, Jan

PB - Springer International Publishing

CY - Cham

ER -

Noncommutative boyd interpolation theorems revisited

Abstract

Publication series

Keywords

Access to Document

Other files and links

Fingerprint

Cite this