Zeitschrift für Analysis und ihre Anwendungen Vol. 19, No. 1, pp. 312 (2000) 

Geometry of Numerical Ranges in Locally mConvex *AlgebrasTh. ChryssakisDept. Math. Univ., Panepostimiopolis, Athens 15784, GreeceAbstract: In this paper we examine the symmetry of numerical ranges in a unital locally $m$convex $C^*$ algebra of a given element and its adjoint, with respect to a rotated realaxis, where the rotation angle depends on the value of the positive linear forms of the algebra (states) at the unit element of the algebra. Keywords: numerical, knumerical, matrix numerical and Bonsal numerical ranges, kstates, locally mconvex, * and $C^*$algebras, *representations Classification (MSC2000): 46H99, 46K99 Full text of the article:
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