n-NORMAL AND n-QUASINORMAL COMPOSITION AND WEIGHTED COMPOSITION OPERATORS ON L 2 (µ) release_zudo6pvl4fae5o6msryxho326m

by Anuradha Gupta, Neha Bhatia

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2014   Volume 66

Abstract

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.
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