標題: Numerical range of Aluthge transform of operator
作者: Wu, PY
應用數學系
Department of Applied Mathematics
關鍵字: numerical range;Aluthge transform;polar decomposition
公開日期: 15-Dec-2002
摘要: For any operator A on a Hilbert space, let (A) over tilde denote its Aluthge transform. In this paper, we prove that the closure of the numerical range of (A) over tilde is always contained in that of A. This supplements the recently proved case for dim ker A less than or equal to dim ker A* by Yamazaki, and partially confirms a conjecture of Jung, Ko and Pearcy. (C) 2002 Elsevier Science Inc. All rights reserved.
URI: http://dx.doi.org/10.1016/S0024-3795(02)00361-0
http://hdl.handle.net/11536/28313
ISSN: 0024-3795
DOI: 10.1016/S0024-3795(02)00361-0
期刊: LINEAR ALGEBRA AND ITS APPLICATIONS
Volume: 357
Issue: 
起始頁: 295
結束頁: 298
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