報告人:  王利廣 教授

講座日期：2020-12-07

講座時間：15:00

報告地點： 騰訊會議 （會議 ID：438 767 510）

主辦單位： 數學與信息科學學院

講座人簡介：

王利廣，曲阜師范大學教授，博士生導師。2005年7月于中國科學院獲理學博士學位。研究方向為泛函分析和算子代數。目前正在主持國家自然科學基金面上項目一項，主持山東省自然科學基金面上項目一項；已主持完成國家自然科學基金面上項目和數學天元基金各一項、山東省自然科學基金面上項目一項。已在《J. Functional Analysis》、《J. Operator Theory》等期刊發表論文20余篇。

講座簡介：

Wigner’s theorem shows that every transition probability preserving surjection on the set of all rank one projections on a Hilbert space is induced by a unitary or an antiunitary. Wigner's theorem can be interpreted as a result of mappings that preserves certain metric on the set of projections. Recently, Geh\'{e}r and \u{S}emrl have characterized the general form of surjective isometries of the set of all projections on an infinite-dimensional separable Hilbert space using unitaries and antiunitaries. In this talk, we will study the surjective $L^2$-isometries of the projection lattice of an infinite dimensional Hilbert space and show that every such isometry can also be described by unitaries and antiunitaries. This talk is based on joint work with Wenming Wu and Wei Yuan.