Some weighted operator geometric mean inequalities

Abstract

In this paper, using the extended Holder- -McCarthy inequality, several inequalities involving the α-weighted geometric mean (0^ )-√(^ ))〗^2 〗.min⁡{α^ ,(1-α)^ }../files/site1/files/0Abstract3.pdf

Keywords

• holder-mccarthy inequality
• numerical range
• operator norm
• positive invertible operator