Quasi Class Q(N), Quasi class Q*(N) and m-quasi k-paranormal Composite Multiplication Operators on the Complex Hilbert Space


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Authors

  • M. Nithya Department of Mathematics, Mother Teresa women's University, Kodaikanal, Tamilnadu, India
  • K. Bhuvaneswari Department of Mathematics, Mother Teresa women's University, Kodaikanal, Tamilnadu, India
  • S. Senthil Department of Economics and Statistics, ICDS, Collectorate, Dindigul, Tamilnadu, India

Keywords:

composite multiplication operator, conditional expectation, m-Quasi-k-paranormal, Quasi Class Q(N), Quasi Class Q*(N)

Abstract

In this paper, the condition under which composite multiplication operators on $L^{2} (\mu )$-space become m-Quasi-k-Paranomal, Quasi Class Q(N) and Quasi Class Q*(N) operators have been obtained in terms of radon-nikodym derivative $f_{0} $.

 

Author Biographies

M. Nithya, Department of Mathematics, Mother Teresa women's University, Kodaikanal, Tamilnadu, India

Government of Tamilnadu

 

K. Bhuvaneswari, Department of Mathematics, Mother Teresa women's University, Kodaikanal, Tamilnadu, India

Department of Mathematics

 

S. Senthil, Department of Economics and Statistics, ICDS, Collectorate, Dindigul, Tamilnadu, India

 

 

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Published

25-05-2023

How to Cite

M. Nithya, K. Bhuvaneswari, & S. Senthil. (2023). Quasi Class Q(N), Quasi class Q*(N) and m-quasi k-paranormal Composite Multiplication Operators on the Complex Hilbert Space. International Journal of Mathematics And Its Applications, 11(2), 89–99. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1083

Issue

Vol. 11 No. 2 (2023)

Section

Research Article

License

Copyright (c) 2023 International Journal of Mathematics And its Applications

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