Title

Generalized Hellinger metric and Audenaert's in-betweenness

Document Type

Article

Publication Date

1-15-2020

Subject Area

ARRAY(0x55e57a2f8bd0)

Abstract

Let σ and τ be Kubo-Ando means [1]. In this article we consider the in-betweenness property [2] for τ with respect to the generalized Hellinger metric induced by σ. That is, we show that when dσ represents the generalized Hellinger metric corresponding to σ, dσ(A,AτB)≤dσ(A,B).

Publication Title

Linear Algebra and Its Applications

Volume

585

First Page

191

Last Page

198

Digital Object Identifier (DOI)

10.1016/j.laa.2019.10.003

ISSN

00243795

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