Numerical ranges of nilpotent operators

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/33590

Title:	Numerical ranges of nilpotent operators
Authors:	Gau,Hwa-Long;Wu,Pei Yuan
Contributors:	數學研究所
Keywords:	HILBERT-SPACE;BOUNDARY;MATRICES
Date:	2008
Issue Date:	2010-07-07 11:39:19 (UTC+8)
Publisher:	中央大學
Abstract:	For any operator A on a Hilbert space, let W(A), w(A) and w(0)(A) denote its numerical range, numerical radius and the distance from the origin to the boundary of its numerical range, respectively. We prove that if A(n) = 0, then w(A) <= (n - 1)w(0)(A), a
Relation:	LINEAR ALGEBRA AND ITS APPLICATIONS????
Appears in Collections:	[Graduate Institute of Mathematics] journal & Dissertation

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