| Title:
|
Orthogonality spaces and atomistic orthocomplemented lattices (English) |
| Author:
|
Hedlíková, Jarmila |
| Author:
|
Pulmannová, Sylvia |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
41 |
| Issue:
|
1 |
| Year:
|
1991 |
| Pages:
|
8-23 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06C15 |
| MSC:
|
81P10 |
| idZBL:
|
Zbl 0790.06009 |
| idMR:
|
MR1087618 |
| DOI:
|
10.21136/CMJ.1991.102428 |
| . |
| Date available:
|
2008-06-09T15:36:25Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102428 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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[3] G. Cattaneo G. Marino: Completeness of inner product spaces with respect to splitting subspaces.Letters in Math. Physics 11 (1986) 15-20. MR 0824671, 10.1007/BF00417459 |
| Reference:
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[4] A. Dvurečenskij: Completeness of inner product spaces and quantum logic of splitting subspaces.Letters in Math. Physics 15 (1988) 231 - 235. MR 0948357, 10.1007/BF00398592 |
| Reference:
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| Reference:
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[6] P. D. Finch: Orthogonality relations and orthomodularity.Bull. Austral. Math. Soc. 2 (1970) 125-128. Zbl 0179.03401, MR 0262122, 10.1017/S0004972700041678 |
| Reference:
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[7] D. J. Foulis C. H. Randall: Lexicographic orthogonality.J. Combinatorial Theory Ser. A 11 (1971) 157-162. MR 0280420, 10.1016/0097-3165(71)90040-9 |
| Reference:
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[8] R. Goldblatt: Orthomodularity is not elementary.Journal Symbolic Logic 49 (1984)401-404. Zbl 0593.03042, MR 0745368 |
| Reference:
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[9] H. Gross H. A. Keller: On the definition of Hilbert space.Manuscripta Math. 23 (1977) 67-90. MR 0482101, 10.1007/BF01168586 |
| Reference:
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[10] S. P. Gudder: Projective representations of quantum logics.Internat. J. Theoret. Physics 3 (1970) 99-108. MR 0416297, 10.1007/BF02412750 |
| Reference:
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[11] S. Gudder: Inner product spaces.Amer. Math. Monthly 81 (1974) 29-36. Zbl 0279.46013, MR 0331027, 10.1080/00029890.1974.11993493 |
| Reference:
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[12] S. Gudder: Correction to: „Inner product spaces".Amer. Math. Monthly 82 (1975) 251-252. MR 0420234 |
| Reference:
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[13] S. Gudder S. Holland: Second correction to: „Inner product spaces".Amer. Math. Monthly 82 (1975) 818. MR 0380374, 10.1080/00029890.1975.11993943 |
| Reference:
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[14] W. Guz: Filter theory and covering law.Ann. Inst. H. Poincarè Sec. A Phys. Thèor. 29 (1978) 357-378. Zbl 0398.03052, MR 0525388 |
| Reference:
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[15] J. Hamhalter P. Pták: A completeness criterion for inner product spaces.Bull. London Math. Soc. 19 (1987) 259-263. MR 0879514, 10.1112/blms/19.3.259 |
| Reference:
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[16] L. Iturrioz: Orthomodular ordered sets and orthogonal closure spaces.Portugal. Math. 39 (1980) 477-488. MR 0776257 |
| Reference:
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[17] G. Kalmbach: Orthomodular lattices.Academic Press, London, 1983. Zbl 0528.06012, MR 0716496 |
| Reference:
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[18] M. D. MacLaren: Atomic orthocomplemented lattices.Pacific J. Math. 14 (1964) 597-612. Zbl 0122.02201, MR 0163860, 10.2140/pjm.1964.14.597 |
| Reference:
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[19] F. Maeda S. Maeda: Theory of symmetric lattices.Springer-Verlag, Berlin 1970. MR 0282889 |
| Reference:
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[20] C. Piron: Foundations of quantum physics.Benjamin, Reading, Massachusetts, 1976. Zbl 0333.46050, MR 0673578 |
| Reference:
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[21] R. Piziak: Orthomodular posets from sesquilinear forms.J. Austral. Math. Soc. 15 (1973) 265-269. Zbl 0271.15013, MR 0325657, 10.1017/S1446788700013161 |
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| Reference:
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| Reference:
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| . |
