The possible shapes of numerical ranges

Details The possible shapes of numerical ranges The possible shapes of numerical ranges

2011-04-23

arxiv.org/abs/1104.4587v1

Mathematics

Functional Analysis

4 pages

Scientific paper

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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