Ando–Hiai-type inequalities for operator means and operator perspectives-Reference-Cited by-同舟云学术

Ando–Hiai-type inequalities for operator means and operator perspectives

Published:2019-12-17 Issue:01 Volume:31 Page:2050007
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Hiai Fumio¹^ORCID,Seo Yuki²,Wada Shuhei³

Affiliation:

1. Graduate School of Information Sciences, Tohoku University, Aoba-ku, Sendai 980-8579, Japan

2. Department of Mathematics Education, Osaka Kyoiku University, Asahigaoka, Kashiwara, Osaka 582-8582, Japan

3. Department of Information and Computer Engineering, National Institute of Technology (KOSEN), Kisarazu College, Kisarazu, Chiba 292-0041, Japan

Abstract

We improve the existing Ando–Hiai inequalities for operator means and present new ones for operator perspectives in several ways. We also provide the operator perspective version of the Lie–Trotter formula and consider the extension problem of operator perspectives to non-invertible positive operators.

Funder

Japan Society for the Promotion of Science

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X2050007X

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