Positive Definiteness of Functions with Applications to Operator Norm Inequalities

Author: Hideki Kosaki  

Publisher: American Mathematical Society‎

Publication year: 2013

E-ISBN: 9781470406141

P-ISBN(Paperback): 9780821853078

P-ISBN(Hardback):  9780821853078

Subject: O177.1 Hilbert space and linear operator theory

Keyword: Analysis

Language: ENG

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Positive Definiteness of Functions with Applications to Operator Norm Inequalities

Description

Positive definiteness is determined for a wide class of functions relevant in the study of operator means and their norm comparisons. Then, this information is used to obtain an abundance of new sharp (unitarily) norm inequalities comparing various operator means and sometimes other related operators.

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