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The mean transform of bounded linear operators
Authors:Sang Hoon Lee  Woo Young Lee  Jasang Yoon
Affiliation:1. Department of Mathematics, Chungnam National University, Daejeon 305-764, Republic of Korea;2. Department of Mathematics, Seoul National University, Seoul 151-747, Republic of Korea;3. Department of Mathematics, The University of Texas-Pan American, Edinburg, TX 78539, United States
Abstract:In this paper we introduce the mean transform of bounded linear operators acting on a complex Hilbert space and then explore how the mean transform of weighted shifts behaves, in comparison with the Aluthge transform.
Keywords:The mean transform   The Aluthge transform   k-hyponormal   Subnormal   Weighted shifts
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