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2015 $p$-Quasiposinormal Composition and Weighted Composition Operators on $L^2(\mu)$
Neha Bhatia, Anuradha Gupta
Ann. Funct. Anal. 6(1): 109-115 (2015). DOI: 10.15352/afa/06-1-9

Abstract

An operator $T$ on a Hilbert space $H$ is called $p$-quasiposinormal operator if $c^2T^*(T^*T)^pT\ge T^*(TT^*)^pT$ where $p \in (0, 1]$ and for some $c\in (0, \infty)$. In this paper, we have obtained conditions for composition and weighted composition operators to be $p$-quasiposinormal operators.

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Neha Bhatia. Anuradha Gupta. "$p$-Quasiposinormal Composition and Weighted Composition Operators on $L^2(\mu)$." Ann. Funct. Anal. 6 (1) 109 - 115, 2015. https://doi.org/10.15352/afa/06-1-9

Information

Published: 2015
First available in Project Euclid: 19 December 2014

zbMATH: 1312.47030
MathSciNet: MR3297791
Digital Object Identifier: 10.15352/afa/06-1-9

Subjects:
Primary: 47B38
Secondary: 47B20 , 47B33

Keywords: $p$-quasiposinormal operators , Composition operators , conditional expectation operators , weighted composition operators

Rights: Copyright © 2015 Tusi Mathematical Research Group

Vol.6 • No. 1 • 2015
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