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arXiv · 1110.0400

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

Sh. A. Ayupov·N. J. Yadgorov
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Abstract

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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Sh. A. Ayupov, N. J. Yadgorov. 2011-10-03. Fixed points of reflections of compact convex sets and a characterization of state spaces of Jordan Banach algebras. https://arxiv.org/abs/1110.0400

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