Geometry of the state space of modular Jordan algebras

Sh. A. Ayupov, N. D. Yadgorov


Abstract: In the class of compact convex sets the normal state spaces of modular Jordan algebras are characterized. To wit,the state spaces are precisely those sets that are modular, spectral, and symmetric.

UDC: 517.98

MSC: Primary 17C90, 81P10, 46H70, 46L30, 46L70; Secondary 46A55

Received: 27.04.1992

 English version: Russian Academy of Sciences. Izvestiya Mathematics, 1994, 43:3, 581–592

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