Affiliation:
1. Laboratory of Mathematical Techniques (LTM), Department of Mathematics, Faculty of Mathematics and Informatics, University of Batna, Batna, Algeria
Abstract
Let T ? B(H) be a bounded linear operator on a Hilbert space H, and let T =
U|T| be its polar decomposition. Then, for every ? ? [0,1] the ?-Aluthge
transform of T is defined by ??(T) = |T|?U|T|1-?. In this paper, we
characterize the invertible, binormal, and EP operators and its intersection
with a special class of introduced operators via the ?-Aluthge transform.
Publisher
National Library of Serbia
Cited by
5 articles.
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