k-*Paranormal, k-Quasi-*paranormal and (n, k)- Quasi-*paranormal Composite Multiplication Operator on ⌊2-spaces

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

doi:10.9734/BJMCS/2015/20166

Research Article Open access CC BY 4.0

k-Paranormal, k-Quasi-paranormal and (n, k)- Quasi-*paranormal Composite Multiplication Operator on ⌊2-spaces

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

Journal of Advances in Mathematics and Computer Science · pp. 1–15 · Published 16 Sep 2015

10.9734/BJMCS/2015/20166

Abstract

An operator , is said to be -quasi-*paranormal if for every x in [1]. In this paper, the conditions under which composite multiplication operator becomes k-*paranormal operator, k-quasi-*paranormal operator and (n,k) -quasi-*paranormal operator, have been obtained in terms of Radon-Nikodym derivative .

k-*paranormal k-quasi-*paranormal (n,k) -quasi-*paranormal conditional expectation composition operator multiplication operator and composite multiplication operator.

Cited by 1

(m, n)-Paranormal Composition Operators

Baljinder Kour, Sonu Ram · Springer Proceedings in Mathematics & Statistics · 2021

n-Normal and n-Quasi-normal Composite Multiplication Operator on L2 -Spaces — shares topic coverage
Unconditional Integrability with Application to Ergodic Theorem — shares topic coverage
On Products of Composition and Differentiation Operators — shares topic coverage

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S. Senthil, P. Thangaraju, D. C. Kumar (2015). k-*Paranormal, k-Quasi-*paranormal and (n, k)- Quasi-*paranormal Composite Multiplication Operator on ⌊2-spaces. Journal of Advances in Mathematics and Computer Science , 1–15. https://doi.org/10.9734/BJMCS/2015/20166

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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