Positive definiteness of functions with applications to operator norm inequalities

Bibliographic Information

Positive definiteness of functions with applications to operator norm inequalities

Hideki Kosaki

(Memoirs of the American Mathematical Society, no. 997)

American Mathematical Society, 2011

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Note

"Volume 212, number 997 (second of four numbers)."

Includes bibliographical references (p. 77-78) and index

Description and Table of Contents

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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