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

D. Senthilkumar, S. Parvatham

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.

Keywords

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

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