Preservers of operator means on C*-algebras

  • A+

:Lajos Molnar(University of Szeged)
: 2024-11-14 16:00
:Conference Room S102 at Experiment Building at Haiyun Campus

Speaker:Lajos Molnar(University of Szeged)

Time:2024-11-14, 16:00

Location:Conference Room S102 at Experiment Building at Haiyun Campus

Abstract:

The study of operator means is a substantial subarea in operator theory. Those means can apparently be viewed as operations on positive (definite/semidefinite) cones in operator algebras.

In this talk, we survey results concerning the corresponding isomorphisms between such cones. We will mainly consider Kubo-Ando means, but besides them, we deal also with other types of operator means such as the Fiedler-Ptak spectral geometric mean, the Wasserstein mean... A recent related result concerning the preservers of Tsallis operator relative entropies will be presented, too.