Maps that preserve higher-dimensional numerical ranges with operator Jordan products

作者：Chaoqun Chen, Fangyan Lu · 发表于：Linear and Multilinear Algebra · 年份：2017 · DOI：10.1080/03081087.2016.1278197 · 被引用次数：8 · 研究领域：Matrix Theory and Algorithms、Advanced Topics in Algebra、Holomorphic and Operator Theory

Let k be a positive integer. Let H and K be complex Hilbert spaces with dimension greater than k. In this paper, we characterize the surjective maps from to that preserve the k-dimensional numerical ranges of Jordan products or Jordan-products of operators.