Extremality of numerical radii of matrix commutators and Jordan products

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DC Field	Value	Language
dc.contributor.author	Gau, Hwa-Long	en_US
dc.contributor.author	Wang, Kuo-Zhong	en_US
dc.date.accessioned	2018-08-21T05:52:45Z	-
dc.date.available	2018-08-21T05:52:45Z	-
dc.date.issued	2017-11-15	en_US
dc.identifier.issn	0024-3795	en_US
dc.identifier.uri	http://dx.doi.org/10.1016/j.laa.2017.07.024	en_US
dc.identifier.uri	http://hdl.handle.net/11536/143926	-
dc.description.abstract	It is known that the numerical radius of the commutator (resp., Jordan product) AB - BA (resp., AB + BA) of two n-by-n matrices A and B is related to those of A and B by w(AB +/- BA) <= 4w(A)w(B). In this paper, we give complete characterizations of A and B for which the equality is attained. The matrices involved can be considered as elaborate generalizations of the equality-attaining A = [0 a (0 0)] and B = [0 0 (b) (0)]. (C) 2017 Elsevier Inc. All rights reserved.	en_US
dc.language.iso	en_US	en_US
dc.subject	Numerical radius	en_US
dc.subject	Commutator	en_US
dc.subject	Jordan product	en_US
dc.title	Extremality of numerical radii of matrix commutators and Jordan products	en_US
dc.type	Article	en_US
dc.identifier.doi	10.1016/j.laa.2017.07.024	en_US
dc.identifier.journal	LINEAR ALGEBRA AND ITS APPLICATIONS	en_US
dc.citation.volume	533	en_US
dc.citation.spage	258	en_US
dc.citation.epage	281	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:000412965500012	en_US
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