On Operators for Which T * 2

  • Adnan A. S. Jibril, A. A. S. Jibril
  • Published 2010


In this paper we introduce a class (Q) of operators acting on a Hilbert space H : for any T ∈ (Q), T ∗T 2 = (T ∗T ). We investigate some basic properties of such operators. We show that a quasinormal operator is in (Q). We give a condition under which an operator in (Q) becomes quasinormal. Also we show that an operator in (Q) is a θ−operator. We show that the class (Q) and the class (2N) of 2−Normal operators are independent. Mathematics Subject Classification: 47B20

Cite this paper

@inproceedings{Jibril2010OnOF, title={On Operators for Which T * 2}, author={Adnan A. S. Jibril and A. A. S. Jibril}, year={2010} }