n-NORMAL AND n-QUASINORMAL COMPOSITION AND WEIGHTED COMPOSITION OPERATORS ON L 2 (µ)

Anuradha Gupta, Neha Bhatia
2014 MATEMATIQKI VESNIK   unpublished
An operator T is called n-normal operator if T n T * = T * T n and n-quasinormal operator if T n T * T = T * T T n. In this paper, the conditions under which composition operators and weighted composition operators become n-normal operators and n-quasinormal operators have been obtained in terms of Radon-Nikodym derivative hn.
fatcat:zudo6pvl4fae5o6msryxho326m