Orthogonal vector measures on projection lattices in a Hilbert space

Jan Hamhalter

Commentationes Mathematicae Universitatis Carolinae (1990)

  • Volume: 031, Issue: 4, page 655-660
  • ISSN: 0010-2628

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Hamhalter, Jan. "Orthogonal vector measures on projection lattices in a Hilbert space." Commentationes Mathematicae Universitatis Carolinae 031.4 (1990): 655-660. <http://eudml.org/doc/17887>.

@article{Hamhalter1990,
author = {Hamhalter, Jan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Gleason measures; orthogonal vector measures on the lattice of all projections in a von Neumann algebra; operator-valued mappings; noncommutative probability theory; correlation functions of orthogonal measures; Gleason theorems},
language = {eng},
number = {4},
pages = {655-660},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Orthogonal vector measures on projection lattices in a Hilbert space},
url = {http://eudml.org/doc/17887},
volume = {031},
year = {1990},
}

TY - JOUR
AU - Hamhalter, Jan
TI - Orthogonal vector measures on projection lattices in a Hilbert space
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1990
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 031
IS - 4
SP - 655
EP - 660
LA - eng
KW - Gleason measures; orthogonal vector measures on the lattice of all projections in a von Neumann algebra; operator-valued mappings; noncommutative probability theory; correlation functions of orthogonal measures; Gleason theorems
UR - http://eudml.org/doc/17887
ER -

References

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  1. Dvurečenskij A., Pulmannová S., Random measures on a logic, Demostгatio Mathematica, XIV (1981), 305-320. (1981) MR0632289
  2. Hamhalter J., States on W* - algebras and orthogonal vector measures, Proc. Amer. Math. Soc. (1990) (to appear). (1990) MR1036987
  3. Gleason A. M., Measures on closed subspaces in a Hilbert space, J. Math. Mech. 6 (1957), 855-893. (1957) MR0096113
  4. Goldstein M., Formy ortogonalne na algebrach von Neumanna, Acta univeгsitatis Lodziensis, 1986. (1986) 
  5. Jajte R., Gleason measures, Probabilistic analysis and related topics, No. 2 (1979), 69-104. (1979) Zbl0479.46047MR0556679
  6. Jajte R., Paszkiewicz A., Vector measures on closed subspaces of a Hilbert space, Studia Math 58 (1978), 229-251. (1978) MR0632053
  7. Kadison R. V., Ringгose J. R., Fundamentals of the Theory of Operators Algebras, Vol. I, Academic Press, Inc, 1986. (1986) MR0859186
  8. Matveichuk M. S., Finite measures on quantum logics, Proceedings of the first Winter School on Measure Theory, Liptovský Ján, January 1988. (1988) MR1000193
  9. Matveichuk M. S., Theorems on states on quantum logics, (Russian), T. M. F. 45 (1980), 244-250. (1980) MR0604523
  10. Varadarajan V., Geometry of Quantum Theory, Princeton, D. van Nostrand, 1968. (1968) Zbl0155.56802MR0471674

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