Lipschitz type inequalities for noncommutative perspectives of operator monotone functions in Hilbert spaces

Assume that f : [ 0 , ∞ ) → R is a continuous function. We can define the perspective P f B , A by setting P f B , A : = A 1 / 2 f A - 1 / 2 B A - 1 / 2 A 1 / 2 , where A ,  B > 0 . We show in this paper among others that P f B , P - P f A , P ≤ P 2 B - A p 2 P f m 2 , p - P f m 1 , p m 2 - m 1 i...

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Bibliographic Details

Published in:	Advances in operator theory Vol. 6; no. 2
Main Author:	Dragomir, Silvestru Sever
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.04.2021
Subjects:	Mathematics Mathematics and Statistics Operator Theory Original Paper Operator monotone functions 26D1 Noncommutative perspectives 15A60 47A63 47A30 26D15
ISSN:	2662-2009, 2538-225X
Online Access:	Get full text
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