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Numerical ranges of companion matrices: flat portions on the boundary
numerical range companion matrix Functional Analysis Algebraic Geometry
2011/9/9
Abstract: Criterion for a companion matrix to have a certain number of flat portions on the boundary of its numerical range is given. The criterion is specialized to the cases of 3-by-3 and 4-by-4 mat...
C*-algebras with the weak expectation property and a multivariable analogue of Ando's theorem on the numerical radius
C*-algebras the weak expectation property Ando's theorem the numerical radius
2011/8/23
Abstract: A classic theorem of T. Ando characterises operators that have numerical radius at most one as operators that admit a certain positive 2x2 operator matrix completion. In this paper we consid...