Grand Fujii-Fujii-Nakamoto operator inequality dealing with operator order and operator chaotic order
Jian Shi
TL;DR
This paper proves that a specific grand Fujii-Fujii-Nakamoto operator inequality can imply both operator order and operator chaotic order, depending on certain conditions.
Contribution
It establishes new links between the grand Fujii-Fujii-Nakamoto inequality and operator order and chaotic order, expanding understanding of operator inequalities.
Findings
The grand Fujii-Fujii-Nakamoto inequality implies operator order.
The inequality also implies operator chaotic order.
Different conditions determine which order is implied.
Abstract
In this paper, we shall prove that a grand Fujii-Fujii-Nakamoto operator inequality implies operator order and operator chaotic order under different conditions.
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Taxonomy
TopicsMathematical Inequalities and Applications · Holomorphic and Operator Theory · Analytic and geometric function theory