Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10224172 | Journal of Mathematical Analysis and Applications | 2018 | 20 Pages |
Abstract
An operator T on a complex Hilbert space H is said to be complex symmetric if there exists a conjugate-linear, isometric involution C:HâH so that CTC=Tâ. This paper is devoted to describing which linear maps leave the class of complex symmetric operators invariant. Complete characterizations are obtained for several classes of linear maps, including similarity transformations, surjective linear isometries, multiplication operators and certain completely positive maps.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Youqing Ji, Ting Liu, Sen Zhu,