| Title:
|
Orthogonal vector measures on projection lattices in a Hilbert space (English) |
| Author:
|
Hamhalter, Jan |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
31 |
| Issue:
|
4 |
| Year:
|
1990 |
| Pages:
|
655-660 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46L10 |
| MSC:
|
46L30 |
| MSC:
|
46L50 |
| MSC:
|
46L51 |
| MSC:
|
46L53 |
| MSC:
|
46L54 |
| MSC:
|
81B10 |
| MSC:
|
81P10 |
| idZBL:
|
Zbl 0743.46067 |
| idMR:
|
MR1091363 |
| . |
| Date available:
|
2008-06-05T21:45:50Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106901 |
| . |
| Reference:
|
[1] Dvurečenskij A., Pulmannová S.: Random measures on a logic.Demostгatio Mathematica, XIV (1981), 305-320. MR 0632289 |
| Reference:
|
[2] Hamhalter J.: States on W* - algebras and orthogonal vector measures.Proc. Amer. Math. Soc. (1990) (to appear). MR 1036987 |
| Reference:
|
[3] Gleason A. M.: Measures on closed subspaces in a Hilbert space.J. Math. Mech. 6 (1957), 855-893. MR 0096113 |
| Reference:
|
[4] Goldstein M.: Formy ortogonalne na algebrach von Neumanna.Acta univeгsitatis Lodziensis, 1986. |
| Reference:
|
[5] Jajte R.: Gleason measures.Probabilistic analysis and related topics, No. 2 (1979), 69-104. Zbl 0479.46047, MR 0556679 |
| Reference:
|
[6] Jajte R., Paszkiewicz A.: Vector measures on closed subspaces of a Hilbert space.Studia Math 58 (1978), 229-251. MR 0632053 |
| Reference:
|
[7] Kadison R. V., Ringгose J. R.: Fundamentals of the Theory of Operators Algebras.Vol. I, Academic Press, Inc, 1986. MR 0859186 |
| Reference:
|
[8] Matveichuk M. S.: Finite measures on quantum logics.Proceedings of the first Winter School on Measure Theory, Liptovský Ján, January 1988. MR 1000193 |
| Reference:
|
[9] Matveichuk M. S.: Theorems on states on quantum logics.(Russian), T. M. F. 45 (1980), 244-250. MR 0604523 |
| Reference:
|
[10] Varadarajan V.: Geometry of Quantum Theory.Princeton, D. van Nostrand, 1968. Zbl 0155.56802, MR 0471674 |
| . |
