Paper Title:

On Eigenvalues and Boundary Curvature of the C*-algebra Numerical Rang

Author(s):

M. T. Heydari

Department of Mathematics,
College of Sciences,
Yasouj University,
Yasouj, 75914-74831,
Iran.

E-mail: heydari@yu.ac.ir 

Abstract:

Let A be a C*-algebra with unit 1 and a∈A be a nilpotent. By Donoghue's Theorem, all corner points of its numerical range V(a) belong to the spectrum σ(a). It is therefore natural to expect that, more generally, the distance from a point p on the boundary ∂ V(a) of V(a) to σ(a) should be in some sense bounded by the radius of curvature of ∂ V(a) at p.

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