Numerical range of Aluthge transform of operator

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DC Field	Value	Language
dc.contributor.author	Wu, PY	en_US
dc.date.accessioned	2014-12-08T15:41:38Z	-
dc.date.available	2014-12-08T15:41:38Z	-
dc.date.issued	2002-12-15	en_US
dc.identifier.issn	0024-3795	en_US
dc.identifier.uri	http://dx.doi.org/10.1016/S0024-3795(02)00361-0	en_US
dc.identifier.uri	http://hdl.handle.net/11536/28313	-
dc.description.abstract	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.	en_US
dc.language.iso	en_US	en_US
dc.subject	numerical range	en_US
dc.subject	Aluthge transform	en_US
dc.subject	polar decomposition	en_US
dc.title	Numerical range of Aluthge transform of operator	en_US
dc.type	Article	en_US
dc.identifier.doi	10.1016/S0024-3795(02)00361-0	en_US
dc.identifier.journal	LINEAR ALGEBRA AND ITS APPLICATIONS	en_US
dc.citation.volume	357	en_US
dc.citation.issue		en_US
dc.citation.spage	295	en_US
dc.citation.epage	298	en_US
dc.contributor.department	應用數學系	zh_TW
dc.contributor.department	Department of Applied Mathematics	en_US
dc.identifier.wosnumber	WOS:000179209300021	-
dc.citation.woscount	13	-
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