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Orthomodular posets from sesquilinear forms

Published online by Cambridge University Press:  09 April 2009

Robert Piziak
Robert Piziak
Affiliation:
Department of MathematicsUniversity of Florida205 Walker Hall, Gainesville Florida 32601, U. S. A.
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In this paper, we show how to generate orthomodular posets from sesquilinear forms on a vector space.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 15 , Issue 3 , May 1973 , pp. 265 - 269
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Bourbaki, N., Algèbre, Livre II, Chapître IX, Forme Sesquilinéaire et Formes Quadratiques (Hermann, Paris, VI, 1959),Google Scholar
[2]O'Maera, O. T., Introduction to Quadratic Forms (Springer Verlag, Band 117, (1963)).Google Scholar
[3]Pool, J. C. T., Simultaneous Observability and the Logic of Quantum Mechanics, (Ph. D. Thesis, Iowa University, 1963).Google Scholar
[4]Piziak, R., An Algebraic Generalization of Hilbert Space Geometry (Ph. D. Thesis, Massachusetts 1969).Google Scholar
[5]Ramsay, A., ‘A Theorem on Two Commuting Observables’ J. Math. and Mech. 15 (1966). 227–234.Google Scholar