Asian Journal of Research in Social Sciences and Humanities
  • Year: 2017
  • Volume: 7
  • Issue: 2

On N-posinormal, N-quasi Posinorml and (N, K)-Quasi Posinormal Weighted Translation Operators on L2-Spaces

*Department of Mathematics, Mangayarkarasi College of Engineering, Paravai, Tamil Nadu, India

**Department of Mathematics, K.L.N College of Information and Technology, Pottalayam, Tamil Nadu, India

***Department of Mathematics, Vickram College of Engineering, Enathi, Tamil Nadu, India

Online published on 14 February, 2017.

Abstract

An operator T is called (n, k)-quasiposinormal if for every positive integer and a positive integer k. In this paper we discuss the conditions for a weighted translation operator to be (n, k)-qusiposinormal operators. AMS Subject Classification: 47B20, 47B33, 47B34, 47B38.

Keywords

Posinormal, n-posinormal, quasinormal, n-qusinormal, qusiposinormal, (n, k)-quasiposinormal, Expectation operators, Composition operators, Translation operators