走向现代数学学术报告 – 李愿教授（No.983)
报告题目：Structure and positivity of
unitarily covariant maps
报 告 人：李愿 教授（陕西师范大学）
邀 请 人：鲍官龙 教授
报告时间：2026年10月27日 10：00
腾讯会议ID：915-234-704
报告摘要：Let 
be an
infinite-dimensional separable Hilbert space. Denote by 
and 
the Banach
spaces of all bounded linear operators and all trace-class operators on , respectively. In this talk, we provide an explicit
structural characterization of norm-continuous linear maps 
that are
unitarily covariant, namely, linear maps satisfying 
for all 
and all unitary
operators 
. Based on this description, we further establish
equivalent conditions for such maps to be self-adjoint and positive.
