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Congruence numerical ranges and their radii
Authors:Tian-Gang Lei
Institution:Department of Mathematics , Beijing Normal University , Beijing, 100875, China
Abstract:The earliest congruence numerical range was introduced by Thompson in 1980. Since then, congruence numerical ranges and their radii have been studied by some authors. The purpose of this article is to discuss several aspects of this subject. We survey some known results and propose some problems for furthur study. A few new results are also presented.
Keywords:Numerical range  numerical radius  congruence  AMS Subject Classification:15A60
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