In this paper we study the notion of balanced complex polytope as a generalization of a symmetric real polytope to the complex space C^n. We pay particular attention to the geometric properties of such complex polytopes and of their counterparts in the adjoint form. In particular, we stress the differences occurring with respect to the well-known real case. We also introduce and discuss the related definitions of complex polytope norm and adjoint complex polytope norm.

Balanced complex polytopes and related vector and matrix norms

GUGLIELMI N;
2007

Abstract

In this paper we study the notion of balanced complex polytope as a generalization of a symmetric real polytope to the complex space C^n. We pay particular attention to the geometric properties of such complex polytopes and of their counterparts in the adjoint form. In particular, we stress the differences occurring with respect to the well-known real case. We also introduce and discuss the related definitions of complex polytope norm and adjoint complex polytope norm.
Balanced complex polytopes; Geometry of polytopes, Complex polytope norms; Real symmetric polytopes
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12571/202
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