Abstract
We characterize extreme rays of the dual cone of the cone consisting of all s-positive (respectively t-copositive) linear maps between matrix algebras. This gives us a characterization of positive linear maps which are the sums of s-positive linear maps and t-copositive linear maps, which generalizes Strmer’s characterization of decomposable positive linear maps in matrix algebras. With this duality, it is also easy to describe maximal faces of the cone consisting of all s-positive (respectively t-copositive) linear maps between matrix algebras.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
