HIGHER-RANK NUMERICAL RANGES AND DILATIONS

NCU Institutional Repository > 理學院 > 數學系 > 期刊論文 > Item 987654321/51133

jsp.display-item.identifier=請使用永久網址來引用或連結此文件: http://ir.lib.ncu.edu.tw/handle/987654321/51133

题名:	HIGHER-RANK NUMERICAL RANGES AND DILATIONS
作者:	Gau,HL;Li,CK;Wu,PY
贡献者:	數學系
关键词:	PONCELET CURVES;MATRICES;POLYGONS;UNITARY
日期:	2010
上传时间:	2012-03-27 18:22:51 (UTC+8)
出版者:	國立中央大學
摘要:	For any n-by-n complex matrix A and any k, 1 <= k <= n, let Lambda(k)(A) = {lambda is an element of C : XAX = lambda I(k) for some n-by-k X satisfying XX = I(k)) be its rank-k numerical range. It is shown that if A is an n-by-n contraction, then Lambda(k)(A) = boolean AND{Lambda(k)(U) : U is an (n + d(A))-by-(n + d(A)) unitary dilation of A}, where d(A) = rank (I(n) - A* A). This extends and refines previous results of Choi and Li on constrained unitary dilations, and a result of Mirman on S(n)-matrices.
關聯:	JOURNAL OF OPERATOR THEORY
显示于类别:	[數學系] 期刊論文

文件中的档案:

档案	描述	大小	格式	浏览次数
index.html		0Kb	HTML	485	检视/开启

在NCUIR中所有的数据项都受到原著作权保护.

社群 sharing