Open AccessGeometry of Numerical Ranges in Locally $m$-Convex *-Algebras
Author(s) -
Th. Chryssakis
Publication year - 2000
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/934
Subject(s) - geometry , regular polygon , mathematics , convex geometry , convex analysis , convex optimization
In this paper we examine the symmetry of numerical ranges in a unital locally mconvex Calgebra of a given element and its adjoint, with respect to a rotated real-axis, where the rotation angle depends on the value of the positive linear forms of the algebra (states) at the unit clement of the algebra.
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