5 papers
Grand Fujii-Fujii-Nakamoto operator inequality dealing with operator order and operator chaotic order
Jian Shi
In this paper, we shall prove that a grand Fujii-Fujii-Nakamoto operator inequality implies operator order and operator chaotic order under different conditions.
A sufficient condition on operator order for strictly positive operators
Jian Shi, Zongsheng Gao
Let , , , be strictly positive operators on a Hilbert space. This note is to show a sufficient condition of $A_{k}\geq A_{k-1}\geq\geq A_{3}\geq A_{2}\ge…
Characterizations of operator order for k strictly positive operators
Jian Shi, Zongsheng Gao
Let be bounded linear operators on a Hilbert space. This paper aims to show characterizations of operator order $A_{k}\geq A_{k-1}\geq...\geq A_{2}\geq A_…
Further development of positive semidefinite solutions of the operator equation
Jian Shi, Zongsheng Gao
In \cite{Positive semidefinite solutions}, T. Furuta discusses the existence of positive semidefinite solutions of the operator equation . In this…
Operator inequalities dealing with operator equations
Jian Shi, Zongsheng Gao
In this paper, we study the existence of solutions of some kinds of operator equations via operator inequalities. First, we investigate characterizations of operator order $A\geqsl…