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RISOperator means and positivity of block operators
سال: 2017
خلاصه:
The aim of this paper is to find some sufficient conditions for positivity of block matrices of positive operators.
It is shown that for positive operators $A,B,C$ and for every non-negative operator monotone ...
POSITIVE BLOCK MATRICES
سال: 2017
خلاصه:
Let $C$ and $D$ be positive operators such that $C\\leq D$ and $D$ be invertible. We show that there exists a trace preserving unital completely positive map $\\Phi_{C,D}:\\mathbb{B}(\\mathcal{H})\\rightarrow ...
A CONVERSE OF THE CHARACTERIZATION OF OPERATOR GEOMETRIC MEANS
سال: 2019
خلاصه:
Let $A,B,$ and $C$ be positive operators in $\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\mathbb{B}(\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\mathscr{H})$. The characterization of the operator geometric means by $2\\\\\\\\\\\\\\\\\\\\\\\\\ ...