Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for τ -Measurable Operators: Part II

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

doi:10.1007/s00020-020-02586-5

Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for τ -Measurable Operators: Part II

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

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

4 Citations (Scopus)

Abstract

The paper establishes arithmetic–geometric mean and related submajorisation and norm inequalities for τ-measurable operators affiliated with a semi-finite von Neumann algebra acting in a separable Hilbert space as an application of the theory of double operator integration.

Original language	English
Article number	32
Number of pages	60
Journal	Integral Equations and Operator Theory
Volume	92
Issue number	4
DOIs	https://doi.org/10.1007/s00020-020-02586-5
Publication status	Published - 9 Jul 2020

Keywords

Double operator integration
Measurable operators
Submajorisation

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

abstract = "The paper establishes arithmetic–geometric mean and related submajorisation and norm inequalities for τ-measurable operators affiliated with a semi-finite von Neumann algebra acting in a separable Hilbert space as an application of the theory of double operator integration.",

keywords = "Double operator integration, Measurable operators, Submajorisation",

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

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AU - Sukochev, F. A.

AU - Zanin, D.

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AB - The paper establishes arithmetic–geometric mean and related submajorisation and norm inequalities for τ-measurable operators affiliated with a semi-finite von Neumann algebra acting in a separable Hilbert space as an application of the theory of double operator integration.

KW - Double operator integration

KW - Measurable operators

KW - Submajorisation

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Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for τ -Measurable Operators: Part II

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