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Tamkang Journal of Mathematics
Article . 1991 . Peer-reviewed
License: CC BY NC SA
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Tamkang Journal of Mathematics
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A REMARK ON BOUNDEDNESS OF THE NUMERICAL RANGE

A remark on boundedness of the numerical range
descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1991Publisher:Tamkang Journal of MathematicsJournal:Tamkang Journal of Mathematics, volume 22, pages 271-273 (issn: 0049-2930, eissn: 2073-9826, Copyright policy )
Authors: Chan, Chi Fai;

doi: 10.5556/j.tkjm.22.1991.4611

A REMARK ON BOUNDEDNESS OF THE NUMERICAL RANGE

Abstract

It is shown that Chien's result on the smallest rectangle wjth sjdes parallel to the axes containing the nwnerical range of a real matrix follows from a simple observation on complex matrices. A counter-example to Chien's conjecture is also given.

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Keywords

complex matrices, minimum (maximum) eigenvalue, Norms of matrices, numerical range, applications of functional analysis to matrix theory, counter-example, Hermitian matrix, boundedness of the numerical range

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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
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