On the Iterated Duggal Transforms

• Journal title : Kyungpook mathematical journal
• Volume 49, Issue 4,  2009, pp.647-650
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2009.49.4.647
Title & Authors
On the Iterated Duggal Transforms
Cho, Muneo; Jung, Il-Bong; Lee, Woo-Young;

Abstract
For a bounded operator T = $\small{U{\mid}T{\mid}}$ (polar decomposition), we consider a transform b $\small{\widehat{T}}$ = $\small{{\mid}T{\mid}U}$ and discuss the convergence of iterated transform of $\small{\widehat{T}}$ under the strong operator topology. We prove that such iteration of quasiaffine hyponormal operator converges to a normal operator under the strong operator topology.
Keywords
Aluthge transform;hyponormal operator;quasiaffinity;
Language
English
Cited by
1.
Subscalarity of operator transforms, Mathematische Nachrichten, 2015, 288, 17-18, 2042
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