‎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 ...

‎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 ...

‎Let $A,B,$ and $C$ be positive operators in $\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\mathbb{B}(\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\mathscr{H})$‎. ‎The characterization of the operator geometric means by $2\\\\\\\\\\\\\\\\\\\\\\\\\ ...