Aluthge Transformation of Quasi n-class Q and quasi n- class Q* Operators

Authors

  • D. Senthilkumar GOVERNMENT ARTS COLLEGE, COIMBATORE-18. BHARATHIAR UNIVERSITY.
  • S. Parvatham

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i4.3329

Keywords:

Class Q Operators, Composition Operators, Weighted Composition Operators, Aluthge Transformation

Abstract

In this paper, a new class of operators called quasi n-class Q and quasi n-class Q*
operators are introduced and studied some properties. Quasi n-class Q and quasi n-class Q* composition and weighted composition operators on L2() and H2() are characterized. Also we discuss quasi n-class Q and quasi n-class Q composite multiplication operator on L2 space and Aluthge transformation of these class of operators are obtained.

Author Biography

D. Senthilkumar, GOVERNMENT ARTS COLLEGE, COIMBATORE-18. BHARATHIAR UNIVERSITY.

department of mathematics

 

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Published

2018-10-24

How to Cite

Senthilkumar, D., & Parvatham, S. (2018). Aluthge Transformation of Quasi n-class Q and quasi n- class Q* Operators. European Journal of Pure and Applied Mathematics, 11(4), 1108–1129. https://doi.org/10.29020/nybg.ejpam.v11i4.3329

Issue

Vol. 11 No. 4: (October 2018)

Section

Mathematical Modeling and Numerical Analysis

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.