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

Issue

Section

Mathematical Modeling and Numerical Analysis

How to Cite

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