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Some classes of operators associated with generalized Aluthge transformation

Some classes of operators associated with generalized Aluthge transformation

In this paper, firstly we shall give simplified proofs of the results on generalized Aluthge transformation in [11][12][14] and [16]. Secondly we shall discuss a generalization of both classes of class A(k) operators defined in [9] and w-hyponormal operators defined in [2].