# Orthogonal vector measures on projection lattices in a Hilbert space

Commentationes Mathematicae Universitatis Carolinae (1990)

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

## Access Full Article

top## How to cite

topHamhalter, 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

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

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.