The possible shapes of numerical ranges
classification
🧮 math.FA
math.AG
keywords
matrixnumericaladditioncharacterizationcomplexconvexexistsgives
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Which convex subsets of the complex plane are the numerical range W(A of some matrix A? This paper gives a precise characterization of these sets. In addition to this we show that for any A there exists a symmetric matrix B of the same size such that W(A)=W(B).
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