Abstract:

The class of wF(p,r,q) operators is introduced, as a continuation of the study of class wA(p,r) operators. This class contains all A(p,r) operators and belongs to classF(p,r,q). The authors show several properties of this class, such as its characterizations, inclusion relations, normality, powers and so on.

Key words: Class F(p,r,q), Class wF(p,r,q), Furuta inequality, Hansen''s inequality, Generalized Aluthge transformation