| Title:
|
On the extension problem for unbounded measures on projections (English) |
| Author:
|
Lugovaya, G. D. |
| Author:
|
Sherstnev, A. N. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
50 |
| Issue:
|
4 |
| Year:
|
2000 |
| Pages:
|
473-481 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46L10 |
| MSC:
|
46L51 |
| idZBL:
|
Zbl 0993.46030 |
| idMR:
|
MR1857302 |
| . |
| Date available:
|
2009-09-25T11:46:57Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/131771 |
| . |
| Reference:
|
[1] SEGAL I.: A non-commutative extension of abstract integration.Ann. Math. 57 (1953), 401-457. Zbl 0051.34202, MR 0054864 |
| Reference:
|
[2] GLEASON A. M.: Measures on the closed subspaces of a Hilbert space.J. Math. Mech. 6 (1957), 885-894. Zbl 0078.28803, MR 0096113 |
| Reference:
|
[3] CHRISTENSEN E.: Measures on projections and physical states.Coram. Math. Phуs. 86 (1982), 113-115. Zbl 0507.46052, MR 0679201 |
| Reference:
|
[4] YEADON F.: Finiteiy additive measures on projections in finite W* -algebras.Bull. London Math. Soc. 16 (1984), 145-150. MR 0737242 |
| Reference:
|
[5] MATVEJCHUK M. S.: Description of finite measures in semifìnite algebras.(Russian), Funktsional. Anal. i Pгilozhen. 15 (1981), 41-53. [English translation: Functional Anal. Appl. 15 (1982), 187-197]. MR 0630338 |
| Reference:
|
[6] LUGOVAYA G. D.-SHERSTNEV A. N.: On the linearity problem for unbounded measures on projections.Funktsional. Anal. (Uľyanovsk) no. 23 (1984), 76-81. (Russian) MR 0852249 |
| Reference:
|
[7] MATVEJCHUK M. S.: The extension of an unbounded measure to a weight.Izv. Vyssh. Uchebn. Zaved. Mat. 4 (1987), 47-51. (Russian) |
| Reference:
|
[8] LUGOVAYA G. D.-SHERSTNEV A. N.: On a problem of the non-commutative measure theory.In: Algebra and Analysis (Abstracts of the Conf. Dedicated to the 100-al B. M. Gagaeff), Kaz. Math. Soc, Kazan, 1997, p. 139. (Russian) |
| Reference:
|
[9] LUGOVAYA G. D.-SHERSTNEV A. N.: On the extension problem for unbounded measures on projections to weights.Dokl. Akad. Nauk 365 (1999), 165-166. (Russian) MR 1706062 |
| Reference:
|
[10] SHERSTNEV A. N.: On certain problems in the theory of unbounded measures on projections.Atti Sem. Mat. Fis. Univ. Modena 42 (1994), 357-366. Zbl 0820.46063, MR 1310437 |
| Reference:
|
[11] DIXMIER J.: Les algèbres ďopérateurs dans ľespace Hilbertien (algèbres de von Neumann).In: Cahiers scientifiques. Fasc. XXV, 2e ed. revue et augmentee (Gauthier-Villars, ed.), Paris, 1969. (French) |
| . |
