Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for τ -Measurable operators: Part I

P. G. Dodds; T. K. Dodds; F. A. Sukochev; D. Zanin

doi:10.1007/s00020-020-02585-6

Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for τ -Measurable operators: Part I

P. G. Dodds, T. K. Dodds, F. A. Sukochev, D. Zanin

College of Science and Engineering

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

6 Citations (Scopus)

Abstract

The paper establishes arithmetic-geometric mean and related submajorisation and norm inequalities in the general setting of τ-measurable operators affiliated with a semi-finite von Neumann algebra.

Original language	English
Article number	28
Number of pages	24
Journal	Integral Equations and Operator Theory
Volume	92
Issue number	3
DOIs	https://doi.org/10.1007/s00020-020-02585-6
Publication status	Published - 24 Jun 2020

Keywords

Measurable operators
Submajorisation
Symmetric norms

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title = "Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for τ -Measurable operators: Part I",

abstract = "The paper establishes arithmetic-geometric mean and related submajorisation and norm inequalities in the general setting of τ-measurable operators affiliated with a semi-finite von Neumann algebra.",

keywords = "Measurable operators, Submajorisation, Symmetric norms",

author = "Dodds, {P. G.} and Dodds, {T. K.} and Sukochev, {F. A.} and D. Zanin",

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AU - Dodds, T. K.

AU - Sukochev, F. A.

AU - Zanin, D.

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N2 - The paper establishes arithmetic-geometric mean and related submajorisation and norm inequalities in the general setting of τ-measurable operators affiliated with a semi-finite von Neumann algebra.

AB - The paper establishes arithmetic-geometric mean and related submajorisation and norm inequalities in the general setting of τ-measurable operators affiliated with a semi-finite von Neumann algebra.

KW - Measurable operators

KW - Submajorisation

KW - Symmetric norms

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M3 - Article

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Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for τ -Measurable operators: Part I

Abstract

Keywords

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