We investigate some relations between Kwong functions and operator monotone functions. As an application, we present an arithmetic–geometric mean type inequality by showing that for two continuous functions f, g on ...

‎Let $C_1,C_2,\\ldots,C_k$ be positive matrices in $M_n$ and $f$ be a continuous real-valued function on $[0,\\infty)$‎. ‎In addition‎, ‎consider $\\Phi$ as a positive linear functional on $M_n$ and define‎

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

‎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 $T\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\in \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\mathfrak{B}(\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\mathbb{H})$ be a bounded linear operator and $\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\omega(T)$ denotes the ...

‎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 $\\mathcal{H}$ be a Hilbert space and $\\mathbb{B}(\\mathcal{H})$ denotes the algebra of all bounded linear operators on $\\mathcal{H}$ and $A$ be a bounden operator in $\\mathcal{H}$‎. ‎Let $A,B\\in\\mathbb{B}(\\mathcal{H})$ ...