A General Framework for Extending Means to Higher Orders

Simple item page
dc.creatorLawson, Jimmie
dc.creatorLim, Yongdo
dc.date2006-12-11
dc.date.accessioned2026-07-07T07:34:49Z
dc.date.available2026-07-07T07:34:49Z
dc.descriptionIn this paper we study the problem of extending means to means of higher order. We show how higher order means can be inductively defined and established in general metric spaces, in particular, in convex metric spaces. As a particular application, we consider the positive operators on a Hilbert space under the Thompson metric and show that the operator logarithmic mean admits extensions of all higher orders, thus providing a positive solution to a problem of Petz and Temesi.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/math/0612293
dc.identifierhttp://arxiv.org/abs/math/0612293
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119906
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject47A64
dc.titleA General Framework for Extending Means to Higher Orders
dc.typetext

Files

Collections

arXiv