### 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 language | English |
---|---|

Pages (from-to) | 143-166 |

Number of pages | 24 |

Journal | Linear Algebra and Its Applications |

Volume | 567 |

DOIs | |

Publication status | Published - Apr 15 2019 |

### Fingerprint

### 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.

Research output: Contribution to journal › Article

*Linear Algebra and Its Applications*, vol. 567, pp. 143-166. https://doi.org/10.1016/j.laa.2019.01.001

}

TY - JOUR

T1 - Characterizations of certain means of positive operators

AU - Molnár, L.

PY - 2019/4/15

Y1 - 2019/4/15

N2 - 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.

AB - 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.

KW - Kubo–Ando mean

KW - Positive Hilbert space operators

KW - Quasi-arithmetic mean

UR - http://www.scopus.com/inward/record.url?scp=85060103392&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85060103392&partnerID=8YFLogxK

U2 - 10.1016/j.laa.2019.01.001

DO - 10.1016/j.laa.2019.01.001

M3 - Article

AN - SCOPUS:85060103392

VL - 567

SP - 143

EP - 166

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

SN - 0024-3795

ER -