n-Normal and n-Quasi-normal Composite Multiplication Operator on L2 -Spaces

S. Senthil; P. Thangaraju; D. C. Kumar

doi:10.9734/JSRR/2015/18661

Research Article Open access CC BY 4.0

n-Normal and n-Quasi-normal Composite Multiplication Operator on L2 -Spaces

S. Senthil, P. Thangaraju, D. C. Kumar

Journal of Scientific Research and Reports · pp. 1–9 · Published 17 Jul 2015

10.9734/JSRR/2015/18661

Abstract

An operator A is called n-normal operator if AnA* =A*An and n-quasi-normal operator if AnA*A =A*AAn . In this paper we characterize the essential isometry, essential co-isometry n-normal and n-quasi-normal composite multiplication operator on L2 -Spaces under certain conditions.

Essential isometry essential co-isometry n-normal n-quasi-normal conditional expectation composition operator multiplication operator and composite multiplication operator.

Cited by 1

$n$-power quasi-isometry and $n$-power normal composition operators on $L^2$-spaces

P. Vijayalakshmi, J. Stella Irene Mary · Malaya Journal of Matematik · 2016

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S. Senthil, P. Thangaraju, D. C. Kumar (2015). n-Normal and n-Quasi-normal Composite Multiplication Operator on L2 -Spaces. Journal of Scientific Research and Reports , 1–9. https://doi.org/10.9734/JSRR/2015/18661

Affiliations

S. Senthil — Department of Mathematics, Vickram College of Engineering, Enathi, Tamilnadu, India.
P. Thangaraju — Department of Mathematics, Saraswathi Narayanan College, Madurai, Tamilnadu, India.
D. C. Kumar — Department of Mathematics, Vickram College of Engineering, Enathi, Tamilnadu, India.

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