Title of article
CHARACTERIZATION OF ALUTHGE TRANSFORM OF COMPOSITION OPERATORS
Author/Authors
Sohrabi ، Morteza Department of Mathematics - Lorestan University
From page
29
To page
38
Abstract
Let \simC φ be the Aluthge transform of composition operator on L^2 (Σ). The main result of this paper is characterizations of Aluthge transform of composition operators in some operator classes that are weaker than hyponormal, such as hyponormal, quasihyponormal, paranormal, ∗-paranormal on L^2 (Σ). Moreover, to explain the results, we provide several useful related examples to show that \simC φ lie between these classes.
Keywords
Aluthge transform , polar decomposition , conditional expectation , hyponormal , paranormal
Journal title
Mathematical Analysis and Convex Optimization
Journal title
Mathematical Analysis and Convex Optimization
Record number
2658502
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