Topologies on quantum logics induced by measures

Vladimír Palko

Mathematica Slovaca (1989)

  • Volume: 39, Issue: 2, page 175-189
  • ISSN: 0232-0525

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Palko, Vladimír. "Topologies on quantum logics induced by measures." Mathematica Slovaca 39.2 (1989): 175-189. <http://eudml.org/doc/32192>.

@article{Palko1989,
author = {Palko, Vladimír},
journal = {Mathematica Slovaca},
keywords = {Boolean -algebra; Hilbert space lattice; uncertainty principle},
language = {eng},
number = {2},
pages = {175-189},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Topologies on quantum logics induced by measures},
url = {http://eudml.org/doc/32192},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Palko, Vladimír
TI - Topologies on quantum logics induced by measures
JO - Mathematica Slovaca
PY - 1989
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 39
IS - 2
SP - 175
EP - 189
LA - eng
KW - Boolean -algebra; Hilbert space lattice; uncertainty principle
UR - http://eudml.org/doc/32192
ER -

References

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  1. DVUREČENSKIJ A., On convergences of signed states, Math. Slovaca 28, 1978, 289-295. (1978) Zbl0421.28003MR0534996
  2. GLEASON A. M., Measures on the closed subspaces of a Hilbert space, J. Math. Mech. 6, 1957, 885-893. (1957) Zbl0078.28803MR0096113
  3. GUDDER S. P., Spectral methods for a generalized probability theory, Trans. Amer. Math. Soc., 119, 1965, 428-442. (1965) Zbl0161.46105MR0183657
  4. HALMOS P. R., Measure Theory, Van Nostrand, Princeton, 1968. (1968) MR0033869
  5. HALMOS P. R., A Hilbert Space Problem Book, Van Nostrand, Princeton, 1967. (1967) Zbl0144.38704MR0208368
  6. KELLEY J. L., General Topology, Van Nostrand, New York, 1955. (1955) Zbl0066.16604MR0070144
  7. SARYMSAKOV T. A., AJUPOV Š. A., CHADŽIJEV, DŽ., ČILIN V. I., Uporjadočennyje algebry, FAN, Taškent, 1983. (1983) 
  8. SCHATTEN R., Norm Ideals of Completely Continuous Operators, Springer, Berlin, 1970. (1970) Zbl0188.44103MR0257800
  9. VARADARAJAN V. S., Probability in physics and a theorem on simultaneous observability, Com. Pure Appl. Math., 15, 1962, 189-217. (1962) Zbl0109.44705MR0163616

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