On the extension problem for unbounded measures on projections

G. D. Lugovaya; A. N. Sherstnev

Mathematica Slovaca (2000)

  • Volume: 50, Issue: 4, page 473-481
  • ISSN: 0232-0525

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Lugovaya, G. D., and Sherstnev, A. N.. "On the extension problem for unbounded measures on projections." Mathematica Slovaca 50.4 (2000): 473-481. <http://eudml.org/doc/32189>.

@article{Lugovaya2000,
author = {Lugovaya, G. D., Sherstnev, A. N.},
journal = {Mathematica Slovaca},
keywords = {von Neumann algebra; measure on projections; orthoideal},
language = {eng},
number = {4},
pages = {473-481},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the extension problem for unbounded measures on projections},
url = {http://eudml.org/doc/32189},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Lugovaya, G. D.
AU - Sherstnev, A. N.
TI - On the extension problem for unbounded measures on projections
JO - Mathematica Slovaca
PY - 2000
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 50
IS - 4
SP - 473
EP - 481
LA - eng
KW - von Neumann algebra; measure on projections; orthoideal
UR - http://eudml.org/doc/32189
ER -

References

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  1. SEGAL I., A non-commutative extension of abstract integration, Ann. Math. 57 (1953), 401-457. (1953) Zbl0051.34202MR0054864
  2. GLEASON A. M., Measures on the closed subspaces of a Hilbert space, J. Math. Mech. 6 (1957), 885-894. (1957) Zbl0078.28803MR0096113
  3. CHRISTENSEN E., Measures on projections and physical states, Coram. Math. Phуs. 86 (1982), 113-115. (1982) Zbl0507.46052MR0679201
  4. YEADON F., Finiteiy additive measures on projections in finite W* -algebras, Bull. London Math. Soc. 16 (1984), 145-150. (1984) MR0737242
  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]. (1981) MR0630338
  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) (1984) MR0852249
  7. MATVEJCHUK M. S., The extension of an unbounded measure to a weight, Izv. Vyssh. Uchebn. Zaved. Mat. 4 (1987), 47-51. (Russian) (1987) 
  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) (1997) 
  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) (1999) MR1706062
  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. (1994) Zbl0820.46063MR1310437
  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) (1969) 

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