This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
E.M. ALFSEN: Compact Convex Sets and Boundary Integrals. Ergebrisse der Math. Und ihrer Grenz., Band 57, Springer-Verlag, Berlin, 1971.
W. G. BADÉ: The Banach Space C(S). Aarchus University Lecture Notes Series, no. 26, 1971.
O. R. BEAVER and T. A. COOK: States on a Quantum Logic and their Connection with a Theorem of Alexandroff. Proc. Amer. Math. Soc., Vol. 67 (1977), pp. 133–134.
S. K. BERBERIAN: Introduction to Hilbert Space. Oxford University Press, New York, 1961.
—: Measure and Integration. The Macmillan Co., New York, Collier Macmillan Limited, London, 1965.
G. BIRKHOFF: Lattice Theory, 3rd ed.. Amer. Math. Soc. Colloquium Publ., vol. 25, Amer. Math. Soc., Providence, Rhode Island, 1967.
T. A. COOK: The Nykodym-Hahn-Vitale-Saks Theorem for States on a Quantum Logic. Mathematical Foundations of Quantum Theory (Conference Proceedings, Loyola U., New Orleans, La.), Acad. Press, 1978.
—: The Geometry of Generalized Quantum Logics. Internat. J. Physics, Vol. 17, 12 (1978), pp. 941–955.
J. DIXMIER: Les Fonctionnelles linéaires sur l'ensemble des opérateurs bornés d'un espace de Hilbert. Ann. of Math., (2) 51 (1950), pp. 387–408.
N. DUNFORD and J. SCHWARTZ: Linear Operators, I. Inter-Science, New York, 1957.
A. M. GLEASON: Measures on the Closed Subspaces of a Hilbert Space. J. of Rat. Mech. and Analsysi Vol. 6 (1957), pp. 885–894.
M. NAKAMURA: A Proof of a Theorem of Takesaki. Kōdai Math. Sem. Rep., Vol. 10 (1958), pp. 89–190.
M. TAKESAKI: On the Conjugate Space of Operator Algebra. Tôhoku Math. J., Vol. 10 (1958), pp. 194–203.
K. YOSIDA and E. HEWITT: Finitely Additive Measures. Trans. Amer. Math. Soc., Vol. 72 (1952), pp. 46–66.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1983 Springer-Verlag
About this paper
Cite this paper
Beaver, O.R. (1983). Regularity and decomposability of finitely additive functions on a quantum logic. In: Belley, JM., Dubois, J., Morales, P. (eds) Measure Theory and its Applications. Lecture Notes in Mathematics, vol 1033. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099845
Download citation
DOI: https://doi.org/10.1007/BFb0099845
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12703-1
Online ISBN: 978-3-540-38690-2
eBook Packages: Springer Book Archive
