A note on classical adjoint commuting linear maps of tensor products of matrices. Issue 4 (2nd April 2016)

• Record Type: Journal Article
• Authors: Chooi, Wai Leong; Kwa, Kiam Heong; Lau, Jinting
• Is Part Of: Linear & multilinear algebra. Volume 64:Issue 4(2016)
• Page Start: 745
• Page End: 766
• Publication Date: 2016-04-02
• Subjects: classical adjoint -- linear preserver -- tensor product -- decomposable tensor; 15A03 -- 15A04 -- 15A69 -- 15A86; Algebras, Linear -- Periodicals; Multilinear algebra -- Periodicals; 512.505
• DOI: 10.1080/03081087.2015.1120703
• Languages: English
• ISSNs: 0308-1087

Abstract

Abstract : Let be the algebra of matrices over a field with at least three elements. Inspired by linear preserver problems related to quantum information science, we characterize classical adjoint commuting linear maps, i.e. linear maps such that with, that preserve decomposable tensors of . Some examples are given to distinguish the study of classical adjoint commuting linear maps of tensor products of matrices from those found in the study of classical adjoint commuting linear maps on matrix spaces.