Document Type

Article

Department/Program

Mathematics

Journal Title

Operators and Matrices

Pub Date

2012

Volume

6

Issue

3

First Page

607

Abstract

Which convex subsets of C 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 B of the same size such that W(A) = W(B) thereby settling an open question from [2].

DOI

10.7153/oam-06-41

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