Abstract
We will discuss some operator inequalities on chaotic order about several operators, which are generalization of Furuta inequality and show monotonicity of related Furuta type operator function.
Highlights
An operator T is said to be positive if (Tx, x) ≥ 0 for all vectors x in a Hilbert space, and T is said to be strictly positive if T is positive and invertible.Theorem LH (Lowner-Heinz inequality, denoted by (LH) briefly)
The following result has been obtained from this point of view
[−1, 0] , so that Ik(pk, rk) is a decreasing function of rn
Summary
College of Mathematics and Information Science, Henan Normal University, Xinxiang 453002, China. We will discuss some operator inequalities on chaotic order about several operators, which are generalization of Furuta inequality and show monotonicity of related Furuta type operator function
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