Operator Equations, Operator Inequalities and Power Bounded Operators in Hilbert Spaces

Abstract

This is a study on some operator equations, operator inequalities and power bounded operators in Hilbert spaces. Looking at the operator equation TW = WS various properties on T, W and S such as; quasinormal, posinormal, hyponormal among others are satisfied, also on some operator inequalities the equivalence of constability of sequences of norms and its decomposition among other results are shown.