Generalized reverse Young and Heinz inequalities

TL;DR

This paper extends reverse Young and Heinz inequalities to a broader range of parameters and applies these improvements to derive new operator inequalities on Hilbert spaces.

Contribution

It introduces generalized reverse Young and Heinz inequalities valid for all real v, expanding their applicability and enabling new operator inequalities in Hilbert space theory.

Findings

Extended inequalities to v in all real numbers

Derived new operator inequalities on Hilbert spaces

Improved bounds for reverse Young and Heinz inequalities

Abstract

In this paper, we study the further improvements of the reverse Young and Heinz inequalities for the wider range of $v$, namely $v\in \mathbb{R}$. These modified inequalities are used to establish corresponding operator inequalities on a Hilbert space.