Product of operators and numerical range

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109271

Title:	Product of operators and numerical range
Authors:	高華隆;Chien, Mao-Ting;Gau, Hwa-Long;Li, Chi-Kwong;Tsai, Ming-Cheng;Wang, Kuo-Zhong
Contributors:	理學院數學系
Keywords:	Algebra;higher rank numerical radius;higher rank numerical range;k-numerical radius;k-numerical range;Linear operators;Mathematical models;numerical radius;numerical range;Operators;Operators (mathematics)
Date:	2016-01-02
Issue Date:	2026-04-23 16:20:15 (UTC+8)
Publisher:	Taylor and Francis Ltd.;Abingdon: Taylor & Francis
Abstract:	摘要： We show that a bounded linear operator is a multiple of a unitary operator if and only if and always have the same numerical radius or the same numerical range for all (rank one) . More generally, for any bounded linear operators , we show that and always have the same numerical radius (resp., the same numerical range) for all (rank one) if and only if (resp., ) is a multiple of a unitary operator for some . We extend the result to other types of generalized numerical ranges including the -numerical range and the higher rank numerical range. 出版者： Abingdon: Taylor & Francis 出版日期： 2016-01-02 出處： Linear & multilinear algebra, 2016-01, Vol.64 (1), p.58-67 版權： 2015 Taylor & Francis 2015 版權： 2015 Taylor & Francis 識別號： ISSN: 0308-1087 識別號： EISSN: 1563-5139 識別號： DOI: 10.1080/03081087.2015.1024195
Appears in Collections:	[Department of Mathematics] journal & Dissertation

Files in This Item:

File	Description	Size	Format
index.html		0Kb	HTML	10	View/Open

社群 sharing