On chaotic order of two operators on Hilbert space
C.-S. Lin · Mathematical Inequalities & Applications · 2003
In this article we characterize an inequality resulted from the chaotic order of two operators on a Hilbert space in terms of Heinz-Kato-Furuta-type inequalities. Consequently, some new characterizations of the weaker version for the Lwner-Heinz inequality are obtained. Finally we introduce the notion of high-order Cauchy-Schwarz inequalities, and its applications are given.