Perspectives and completely positive maps

Frank Hansen

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We study the filtering of the perspective of a regular operator map of several variables through a completely positive linear map. By this method we are able to extend known operator inequalities of two variables to several variables, with applications in the theory of operator means of several variables. We also extend Lieb and Ruskai's convexity theorem from two to n + 1 operator variables for any natural number n.

Original languageEnglish
Pages (from-to)168-176
Number of pages9
JournalAnnals of Functional Analysis
Volume8
Issue number2
DOIs
Publication statusPublished - 2017

Keywords

  • Lieb and Ruskai's convexity theorem
  • Partial traces of operator means

ASJC Scopus subject areas

  • Analysis
  • Anatomy
  • Algebra and Number Theory

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