ON QUASI SIMILARITY OF A PRODUCTS OF QUASI SIMILAR OPERATORS IN HILBERT SPACE

Abstract

In this paper we investigate the conditions under which two operators A and B are quasi-similar implies AB and BA are also quasi-similar. It is herein shown that if A and B satisfy the Putnam Fuglede property and are quasi-similar with the intertwining quasiaffinities self adjoint, then AB and BA are also quasi-similar