### Abstract

Under some mild conditions, the general form of bijective transformations of the set of all positive linear operators on a Hilbert space which preserve a symmetric mean in the sense of Kubo-Ando theory is described.

Original language | English |
---|---|

Pages (from-to) | 864-874 |

Number of pages | 11 |

Journal | Electronic Journal of Linear Algebra |

Volume | 22 |

Publication status | Published - 2011 |

### Fingerprint

### Keywords

- Automorphisms
- Mean
- Positive operators
- Preservers

### ASJC Scopus subject areas

- Algebra and Number Theory

### Cite this

*Electronic Journal of Linear Algebra*,

*22*, 864-874.

**Maps preserving general means of positive operators.** / Molnár, L.

Research output: Contribution to journal › Article

*Electronic Journal of Linear Algebra*, vol. 22, pp. 864-874.

}

TY - JOUR

T1 - Maps preserving general means of positive operators

AU - Molnár, L.

PY - 2011

Y1 - 2011

N2 - Under some mild conditions, the general form of bijective transformations of the set of all positive linear operators on a Hilbert space which preserve a symmetric mean in the sense of Kubo-Ando theory is described.

AB - Under some mild conditions, the general form of bijective transformations of the set of all positive linear operators on a Hilbert space which preserve a symmetric mean in the sense of Kubo-Ando theory is described.

KW - Automorphisms

KW - Mean

KW - Positive operators

KW - Preservers

UR - http://www.scopus.com/inward/record.url?scp=80053158997&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80053158997&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:80053158997

VL - 22

SP - 864

EP - 874

JO - Electronic Journal of Linear Algebra

JF - Electronic Journal of Linear Algebra

SN - 1081-3810

ER -