On Unitary Quasi- Equivalence and Partial Isometry Operators in Hilbert Spaces.

Abstract

Properties of almost similarity and unitary equivalence operators on different classes of operators have been established by various researchers in the recent past. On the other hand, unitary quasi- equivalence has been shown to preserve unitary, normality, hyponormality and binormality of operators. However, properties of unitary quasi-equivalence on partial isometric operators has not been fully established. This study therefore, determines properties of unitary quasi-equivalence on partial isometric operators.