Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2020; 35(1): 151-159

Online first article September 23, 2019      Printed January 31, 2020

https://doi.org/10.4134/CKMS.c180452

Copyright © The Korean Mathematical Society.

$(m,n)$-paranormal operators and $(m,n)^*$-paranormal operators

Preeti Dharmarha, Sonu Ram

University of Delhi; University of Delhi

Abstract

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We introduce the notion of $(m,n)$-paranormal operators and $(m,n)^*$-paranormal operators on Hilbert space and study their properties. We also characterize these operators. Examples of operators are given which are $(m,n)$-paranormal but not $(m,n)^*$-paranormal, and vice-versa.

Keywords: $(m,n)$-paranormal operator, $(m,n)^*$-paranormal operator, $M$-paranormal, $M^*$-paranormal operator

MSC numbers: Primary 47B20; Secondary 47B37

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