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.
会议密码:130024
王利广，曲阜师范大学数学科学学院教授，博士生导师。2005年7月于中国科学院获理学博士学位。研究方向为泛函分析和算子代数。目前正在主持国家自然科学基金面上项目一项，主持山东省自然科学基金面上项目一项；已主持完成国家自然科学基金面上项目和数学天元基金各一项、山东省自然科学基金面上项目一项。已在《J. Functional Analysis》、《J. Operator Theory》等期刊发表论文20余篇。
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