Classification of Atomic Facially Symmetric Spaces
Canadian journal of mathematics, Tome 45 (1993) no. 1, pp. 33-87

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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
DOI : 10.4153/CJM-1993-004-0
Mots-clés : 46, 17, 52
Friedman, Yaakov; Russo, Bernard. Classification of Atomic Facially Symmetric Spaces. Canadian journal of mathematics, Tome 45 (1993) no. 1, pp. 33-87. doi: 10.4153/CJM-1993-004-0
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