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Classification of Atomic Facially Symmetric Spaces

Published online by Cambridge University Press:  20 November 2018

Yaakov Friedman  and
Bernard Russo
Yaakov Friedman
Affiliation:
Department of Mathematics, Jerusalem College of Technology, P.O. Box 16031, Jerusalem 91 160, Israel
Bernard Russo
Affiliation:
Department of Mathematics, University of California, Irvine, California 92717, U.S.A.
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Abstract

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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

Keywords

461752
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 45 , Issue 1 , 01 February 1993 , pp. 33 - 87
Copyright
Copyright © Canadian Mathematical Society 1993

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