Atomic positive linear maps in matrix algebras
نویسندگان
چکیده
منابع مشابه
A Class of Linear Positive Maps in Matrix Algebras II
A class of linear positive, trace preserving maps in Mn is given in terms of affine maps in R n 2 −1 which map the closed unit ball into itself.
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We will be concerned with linear positive maps φ : Mm(C) → Mn(C). To fix notation we begin with setting up the notation and the relevant terminology (cf. [7]). We say that φ is positive if φ(A) is a positive element in Mn(C) for every positive matrix from Mm(C). If k ∈ N, then φ is said to be k-positive (respectively k-copositive) whenever [φ(Aij)] k i,j=1 (respectively [φ(Aji)] k i,j=1) is pos...
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 1998
ISSN: 0034-5318
DOI: 10.2977/prims/1195144425