# On the Lebesgue decomposition of Gleason measures

Časopis pro pěstování matematiky (1987)

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

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top## How to cite

topPalko, 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

top- 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
- A. Dvurečenskij, Signed states on a logic, Math. slovaca, 28 (1978), 33-40. (1978) Zbl0372.02017MR0527772
- A. Dvurečenskij, On convergences of signed states, Math. slovaca 28 (1978), 289-295. (1978) Zbl0421.28003MR0534996
- A. M. Gleason, Мeasures on the closed subspaces of a Hilbert space, J. Math. Mech. 6 (1957), 885-893. (1957) Zbl0078.28803MR0096113
- P. R. Halmos, Measure theory, New York 1950. (1950) Zbl0040.16802MR0033869
- R. Schatten, Norm ideals of completely continuous operators, Springer 1970. (1970) Zbl0188.44103MR0257800

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