@article{CMUC_1990_31_4_a5,
author = {Hamhalter, Jan},
title = {Orthogonal vector measures on projection lattices in a {Hilbert} space},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {655--660},
year = {1990},
volume = {31},
number = {4},
mrnumber = {1091363},
zbl = {0743.46067},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1990_31_4_a5/}
}
Hamhalter, Jan. Orthogonal vector measures on projection lattices in a Hilbert space. Commentationes Mathematicae Universitatis Carolinae, Tome 31 (1990) no. 4, pp. 655-660. http://geodesic.mathdoc.fr/item/CMUC_1990_31_4_a5/
[1] Dvurečenskij A., Pulmannová S.: Random measures on a logic. Demostгatio Mathematica, XIV (1981), 305-320. | MR
[2] Hamhalter J.: States on W* - algebras and orthogonal vector measures. Proc. Amer. Math. Soc. (1990) (to appear). | MR
[3] Gleason A. M.: Measures on closed subspaces in a Hilbert space. J. Math. Mech. 6 (1957), 855-893. | MR
[4] Goldstein M.: Formy ortogonalne na algebrach von Neumanna. Acta univeгsitatis Lodziensis, 1986.
[5] Jajte R.: Gleason measures. Probabilistic analysis and related topics, No. 2 (1979), 69-104. | MR | Zbl
[6] Jajte R., Paszkiewicz A.: Vector measures on closed subspaces of a Hilbert space. Studia Math 58 (1978), 229-251. | MR
[7] Kadison R. V., Ringгose J. R.: Fundamentals of the Theory of Operators Algebras. Vol. I, Academic Press, Inc, 1986. | MR
[8] Matveichuk M. S.: Finite measures on quantum logics. Proceedings of the first Winter School on Measure Theory, Liptovský Ján, January 1988. | MR
[9] Matveichuk M. S.: Theorems on states on quantum logics. (Russian), T. M. F. 45 (1980), 244-250. | MR
[10] Varadarajan V.: Geometry of Quantum Theory. Princeton, D. van Nostrand, 1968. | MR | Zbl