On the Lebesgue decomposition of Gleason measures

Vladimír Palko

Časopis pro pěstování matematiky (1987)

  • Volume: 112, Issue: 1, page 1-5
  • ISSN: 0528-2195

How to cite

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Palko, Vladimír. "On the Lebesgue decomposition of Gleason measures." Časopis pro pěstování matematiky 112.1 (1987): 1-5. <http://eudml.org/doc/21657>.

@article{Palko1987,
author = {Palko, Vladimír},
journal = {Časopis pro pěstování matematiky},
keywords = {Gleason measures; measures on the lattice of all closed subspaces of a separable Hilbert space; states; signed measures; Lebesgue decomposition},
language = {eng},
number = {1},
pages = {1-5},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {On the Lebesgue decomposition of Gleason measures},
url = {http://eudml.org/doc/21657},
volume = {112},
year = {1987},
}

TY - JOUR
AU - Palko, Vladimír
TI - On the Lebesgue decomposition of Gleason measures
JO - Časopis pro pěstování matematiky
PY - 1987
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 112
IS - 1
SP - 1
EP - 5
LA - eng
KW - Gleason measures; measures on the lattice of all closed subspaces of a separable Hilbert space; states; signed measures; Lebesgue decomposition
UR - http://eudml.org/doc/21657
ER -

References

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  1. T. A. Cook, The Nikodym-Hahn-Vitale-Saks theorem for states on a quantum logic, Math. foundations of quantum theory (Proc. Conf., Loyola Univ., New Orleans, 1977) p. 275-286. (1977) MR0503098
  2. A. Dvurečenskij, Signed states on a logic, Math. slovaca, 28 (1978), 33-40. (1978) MR0527772
  3. A. Dvurečenskij, On convergences of signed states, Math. slovaca 28 (1978), 289-295. (1978) MR0534996
  4. A. M. Gleason, Мeasures on the closed subspaces of a Hilbert space, J. Math. Mech. 6 (1957), 885-893. (1957) MR0096113
  5. P. R. Halmos, Measure theory, New York 1950. (1950) Zbl0040.16802MR0033869
  6. R. Schatten, Norm ideals of completely continuous operators, Springer 1970. (1970) Zbl0188.44103MR0257800

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