A class of extremal positive maps in {$3\times 3$} 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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Multiplicativity of certain maximal p → q norms of a tensor product of linear maps on matrix algebras is proved in situations in which the condition of complete positivity (CP) is either augmented by, or replaced by, the requirement that the entries of a matrix representative of the map are non-negative (EP). In particular, for integer t, multiplicativity holds for the maximal 2 → 2t norm of a ...
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We extend the notion of approximately multiplicative to approximately n-multiplicative maps between locally multiplicatively convex algebras and study some properties of these maps. We prove that every approximately n-multiplicative linear functional on a functionally continuous locally multiplicatively convex algebra is continuous. We also study the relationship between approximately mu...
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 1992
ISSN: 0034-5318
DOI: 10.2977/prims/1195167934