Squaring operator Pólya--Szegö and Diaz--Metcalf type inequalities

Mohammad Sal Moslehian, Xiaohui Fu

We square operator Pólya--Szegö and Diaz--Metcalf type inequalities as follows: If operator inequalities $0<m_1^2\le A\le M_1^2$ and $0<m_2^2\le B\le M_2^2$ ho…