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2014 / September Volume 9 No.3
Excursions in Numerical Ranges
Published Date
2014 / September
Title
Excursions in Numerical Ranges
Author
Pei Yuan Wu, Hwa-Long Gau
Keyword
Numerical range, numerical radius, Numerical range, numerical radius
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Pagination
351-370
Abstract
We survey some of our recent results on three topics in the study of numerical ranges, namely, (1) Anderson’s condition for the numerical range of a finite matrix to equal a circular disc, (2) Holbrook’s conjecture on the numerical radius inequality concerning the product of two commuting operators, and (3) Williams and Crimmins’s structure theorem on an operator when its numerical radius equals half of its norm.
AMS Subject
Classification
15A60, 47A12
Received
2014-07-10
Accepted
2014-07-10
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