Article ID Journal Published Year Pages File Type
4601248 Linear Algebra and its Applications 2011 14 Pages PDF
Abstract

Some functions f:R+→R+ induce mean of positive numbers and the matrix monotonicity gives a possibility for means of positive definite matrices. Moreover, such a function f can define a linear mapping on matrices (which is basic in the constructions of monotone metrics). The present subject is to check the complete positivity of in the case of a few concrete functions f. This problem has been motivated by applications in quantum information.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory