Fixed points of reflections of compact convex sets and a characterization of state spaces of Jordan Banach algebras

Details Fixed points of reflections of compact convex sets and a characterization of state spaces of Jordan Banach algebras Fixed points of reflections of compact convex sets and a characterization of state spaces of Jordan Banach algebras

2011-10-03

arxiv.org/abs/1110.0400v1

Mathematics

Functional Analysis

Scientific paper

In the present article we prove a fixed point theorem for reflections of
compact convex sets and give a new characterization of state space of
JB-algebras among compact convex sets. Namely they are exactly those compact
convex sets which are strongly spectral and symmetric.

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