A- M-QUASI NORMAL OPERATORS IN SEMI HILBERTIAN SPACES

Abstract

In this paper we introduce the concept of A -M-quasi normal operators acting on semi Hilbertian space H with inner product .,. . The object of this paper is to study conditions on T which imply A -M-quasi normality. If S and T are A -M-quasi normal operators, we shall obtain conditions under which their sum , difference and product are A -M-quasi normal. Mathematics Subject Classification: Primary 46C05, Secondary 47A05.