Orthogonality spaces and atomistic orthocomplemented lattices
Jarmila Hedlíková; Sylvia Pulmannová
Czechoslovak Mathematical Journal (1991)
- Volume: 41, Issue: 1, page 8-23
- ISSN: 0011-4642
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topHedlíková, Jarmila, and Pulmannová, Sylvia. "Orthogonality spaces and atomistic orthocomplemented lattices." Czechoslovak Mathematical Journal 41.1 (1991): 8-23. <http://eudml.org/doc/13894>.
@article{Hedlíková1991,
author = {Hedlíková, Jarmila, Pulmannová, Sylvia},
journal = {Czechoslovak Mathematical Journal},
keywords = {orthogonality spaces; atomistic orthocomplemented lattices; lattice of closed subspaces of a generalized inner product space; minimal dependence; minimal superposition; atomic exchange property},
language = {eng},
number = {1},
pages = {8-23},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Orthogonality spaces and atomistic orthocomplemented lattices},
url = {http://eudml.org/doc/13894},
volume = {41},
year = {1991},
}
TY - JOUR
AU - Hedlíková, Jarmila
AU - Pulmannová, Sylvia
TI - Orthogonality spaces and atomistic orthocomplemented lattices
JO - Czechoslovak Mathematical Journal
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 41
IS - 1
SP - 8
EP - 23
LA - eng
KW - orthogonality spaces; atomistic orthocomplemented lattices; lattice of closed subspaces of a generalized inner product space; minimal dependence; minimal superposition; atomic exchange property
UR - http://eudml.org/doc/13894
ER -
References
top- I. Amemiya H. Araki, 10.2977/prims/1195195769, Publ. Research Inst. Math. Sci. Kyoto Univ. Series A 2 (1966) 423-427. (1966) MR0213266DOI10.2977/prims/1195195769
- G. Birkhoff, Lattice theory, Coll. Publ. 25, Amer. Math. Soc., Providence, 3rd ed., 1967. (1967) Zbl0153.02501MR0227053
- G. Cattaneo G. Marino, 10.1007/BF00417459, Letters in Math. Physics 11 (1986) 15-20. (1986) MR0824671DOI10.1007/BF00417459
- A. Dvurečenskij, 10.1007/BF00398592, Letters in Math. Physics 15 (1988) 231 - 235. (1988) MR0948357DOI10.1007/BF00398592
- A. Dvurečenskij, 10.1007/BF00420009, Letters in Math. Physics 17 (1989) 19-24. (1989) MR0990578DOI10.1007/BF00420009
- P. D. Finch, 10.1017/S0004972700041678, Bull. Austral. Math. Soc. 2 (1970) 125-128. (1970) Zbl0179.03401MR0262122DOI10.1017/S0004972700041678
- D. J. Foulis C. H. Randall, 10.1016/0097-3165(71)90040-9, J. Combinatorial Theory Ser. A 11 (1971) 157-162. (1971) MR0280420DOI10.1016/0097-3165(71)90040-9
- R. Goldblatt, Orthomodularity is not elementary, Journal Symbolic Logic 49 (1984)401-404. (1984) Zbl0593.03042MR0745368
- H. Gross H. A. Keller, 10.1007/BF01168586, Manuscripta Math. 23 (1977) 67-90. (1977) MR0482101DOI10.1007/BF01168586
- S. P. Gudder, 10.1007/BF02412750, Internat. J. Theoret. Physics 3 (1970) 99-108. (1970) MR0416297DOI10.1007/BF02412750
- S. Gudder, 10.1080/00029890.1974.11993493, Amer. Math. Monthly 81 (1974) 29-36. (1974) Zbl0279.46013MR0331027DOI10.1080/00029890.1974.11993493
- S. Gudder, Correction to: „Inner product spaces", Amer. Math. Monthly 82 (1975) 251-252. (1975) MR0420234
- S. Gudder S. Holland, 10.1080/00029890.1975.11993943, Amer. Math. Monthly 82 (1975) 818. (1975) MR0380374DOI10.1080/00029890.1975.11993943
- W. Guz, Filter theory and covering law, Ann. Inst. H. Poincarè Sec. A Phys. Thèor. 29 (1978) 357-378. (1978) Zbl0398.03052MR0525388
- J. Hamhalter P. Pták, 10.1112/blms/19.3.259, Bull. London Math. Soc. 19 (1987) 259-263. (1987) MR0879514DOI10.1112/blms/19.3.259
- L. Iturrioz, Orthomodular ordered sets and orthogonal closure spaces, Portugal. Math. 39 (1980) 477-488. (1980) MR0776257
- G. Kalmbach, Orthomodular lattices, Academic Press, London, 1983. (1983) Zbl0528.06012MR0716496
- M. D. MacLaren, 10.2140/pjm.1964.14.597, Pacific J. Math. 14 (1964) 597-612. (1964) Zbl0122.02201MR0163860DOI10.2140/pjm.1964.14.597
- F. Maeda S. Maeda, Theory of symmetric lattices, Springer-Verlag, Berlin 1970. (1970) MR0282889
- C. Piron, Foundations of quantum physics, Benjamin, Reading, Massachusetts, 1976. (1976) Zbl0333.46050MR0673578
- R. Piziak, 10.1017/S1446788700013161, J. Austral. Math. Soc. 15 (1973) 265-269. (1973) Zbl0271.15013MR0325657DOI10.1017/S1446788700013161
- S. Pulmannová, Superpositions of states and a representation theorem, Ann. Inst. H. Poincarè Sec. A Phys. Thèor. 32 (1980) 351-360. (1980) MR0594634
- S. Pulmannová, 10.1063/1.527045, J. Math. Physics 27 (1986) 1791-1795. (1986) MR0844219DOI10.1063/1.527045
- V. S. Varadarajan, Geometry of quantum theory, 2nd ed., Springer-Verlag, New York, 1985. (1985) Zbl0581.46061MR0805158
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