Lecturer: Wang Liguang

Abstract:

Means play an important role in matrix theory and operator theory. The preserver of means is an active research field. In this talk, we will talk about the preserver transformations between positive definite cones in operator algebras relating the spectral geometric mean of Fiedler and Ptak. We also discuss kinds of structural similarities and dissimilarities between the Kubo-Ando geometric mean and the spectral geometric mean. We also consider the transformations that preserves the Schatten p-norm of the spectral geometric mean and other two version of Schatten p-norm quantum Renyi relative entropy. We show that these preserves are characterized by Jordan *-isomorphisms between C*-algebras. This talk is based on joint work with Kaixuan Li, Zheng Shi, Lei Li and Lajos Molnar.

Introduction to the Lecturer:

Wang Liguang is a professor and doctorial tutor of the School of Mathematical Sciences, Qufu Normal University. In July 2005, he received his doctorate in science from the Chinese Academy of Sciences. His research interests include functional analysis and operator algebra. Now he is presiding over one general program of the National Natural Science Foundation of China (NSFC) and one general program of the Shandong Provincial Natural Science Foundation. He has presided over one general program of NSFC, one program of the TianYuan Special Funds of NSFC and one general program of the Shandong Provincial Natural Science Foundation. He has published more than 20 papers inJ. Functional AnalysisandJ. Operator Theory.

Invitee:

Wang Penghui, Professor from School of Mathematics

Time:

14:00-15:00, October 26 (Tuesday)

Venue:

Tencent Meeting ID: 678 885 684

Hosted by the School of Mathematics, Shandong University