The spectrum of the product of operators, and the product of their numerical ranges

doi:10.1016/j.laa.2014.11.024

Full metadata record

DC Field	Value	Language
dc.contributor.author	Li, Chi-Kwong	en_US
dc.contributor.author	Tsai, Ming-Cheng	en_US
dc.contributor.author	Wang, Kuo-Zhong	en_US
dc.contributor.author	Wong, Ngai-Ching	en_US
dc.date.accessioned	2015-07-21T08:29:11Z	-
dc.date.available	2015-07-21T08:29:11Z	-
dc.date.issued	2015-03-15	en_US
dc.identifier.issn	0024-3795	en_US
dc.identifier.uri	http://dx.doi.org/10.1016/j.laa.2014.11.024	en_US
dc.identifier.uri	http://hdl.handle.net/11536/124306	-
dc.description.abstract	We show that a compact operator A is a multiple of a positive semi-definite operator if and only if sigma(AB) subset of <(W(A)W(B))over bar>, for all (rank one) operators B. An example of a normal operator is given to show that the equivalence conditions may fail in general. We then obtain conditions to identify other classes of operators A so that equivalence conditions hold. (C) 2014 Elsevier Inc. All rights reserved.	en_US
dc.language.iso	en_US	en_US
dc.subject	Numerical range	en_US
dc.subject	Spectrum	en_US
dc.subject	Positive operators	en_US
dc.title	The spectrum of the product of operators, and the product of their numerical ranges	en_US
dc.type	Article	en_US
dc.identifier.doi	10.1016/j.laa.2014.11.024	en_US
dc.identifier.journal	LINEAR ALGEBRA AND ITS APPLICATIONS	en_US
dc.citation.volume	469	en_US
dc.citation.spage	487	en_US
dc.citation.epage	499	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:000348883600021	en_US
dc.citation.woscount	0	en_US
Appears in Collections:	Articles