Article

Classification of Atomic Facially Symmetric Spaces

Yaakov FriedmanDepartment of Mathematics, Jerusalem College of Technology, P.O. Box 16031, Jerusalem 91 160, IsraelBernard RussoDepartment of Mathematics, University of California, Irvine, California 92717, U.S.A

1993en

ABI

Abstract

Abstract A Banach space satisfying some physically significant geometric properties is shown to be the predual of a JBW * –triple. If one considers the unit ball of this Banach space as the state space of a physical system, the result shows that the set of observables is equipped with a natural ternary algebraic structure. This provides a spectral theory and other tools for studying the quantum mechanical measuring process

Identifiers

DOI: 10.4153/cjm-1993-004-0

Citations and references

Cited by 90 references

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