Characterizations of certain means of positive operators

Research output: Contribution to journalArticle

Abstract

In this paper we present some characterizations for quasi-arithmetic operator means (among them the arithmetic and harmonic means) on the positive definite cone of the full algebra of Hilbert space operators, and also for the Kubo–Ando geometric mean on the positive definite cone of a general non-commutative C-algebra.

Original languageEnglish
Pages (from-to)143-166
Number of pages24
JournalLinear Algebra and Its Applications
Volume567
DOIs
Publication statusPublished - Apr 15 2019

Fingerprint

Positive Operator
Positive definite
Algebra
Cones
Cone
Operator Mean
Harmonic mean
Geometric mean
Hilbert spaces
C*-algebra
Mathematical operators
Hilbert space
Operator

Keywords

  • Kubo–Ando mean
  • Positive Hilbert space operators
  • Quasi-arithmetic mean

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

Cite this

Characterizations of certain means of positive operators. / Molnár, L.

In: Linear Algebra and Its Applications, Vol. 567, 15.04.2019, p. 143-166.

Research output: Contribution to journalArticle

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