Numerical radius inequality for C-0 contractions

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题名:	Numerical radius inequality for C-0 contractions
作者:	Wu,PY;Gau,HL;Tsai,MC
贡献者:	數學研究所
关键词:	MAPPING THEOREMS;RANGE;PRODUCT
日期:	2009
上传时间:	2010-06-29 19:38:48 (UTC+8)
出版者:	中央大學
摘要:	We show that if A is a C-0 contraction with minimal function phi such that w(A) = w(S(phi)), where w(.) denotes the numerical radius of an operator and S(phi) is the compression of the shift on (HH2)-H-2 circle minus phi, and B commutes with A, then w(AB) <= w(A)parallel to B parallel to. This is in contrast to the known fact that if A = S(phi) (even on dimensional space) and B commutes with A, then w(AB) <= w parallel to A parallel to w(B) is not necessarily true. As a a finite consequence, we have w(AB) <= w(A)parallel to B parallel to for any quadratic operatorA and any B commuting with A. (c) 2007 Elsevier Inc. All rights reserved.
關聯:	LINEAR ALGEBRA AND ITS APPLICATIONS
显示于类别:	[數學研究所] 期刊論文

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