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Volumn , Issue , 2009, Pages 443-549

Test Spaces

(1)  Wilce, Alexander a  

a NONE

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EID: 79751500549     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-0-444-52869-8.50014-1     Document Type: Chapter
Times cited : (16)

References (108)
  • 1
    • 0348179489 scopus 로고
    • Description of many separated physical entities without the paradoxes encountered in quantum mechanics
    • Aerts D. Description of many separated physical entities without the paradoxes encountered in quantum mechanics. Foundations of Physics 1982, 12:1131-1170.
    • (1982) Foundations of Physics , vol.12 , pp. 1131-1170
    • Aerts, D.1
  • 2
    • 0010678045 scopus 로고
    • A Remark on Piron's Paper, Publications of the Research Institute of Mathematical Sciences
    • Amemiya I., Araki H. A Remark on Piron's Paper, Publications of the Research Institute of Mathematical Sciences. Kyoto University, A 1967, 2:423-429.
    • (1967) Kyoto University, A , vol.2 , pp. 423-429
    • Amemiya, I.1    Araki, H.2
  • 5
    • 33646220657 scopus 로고
    • Superposition in quantum and classical mechanics
    • Bennett M.K., Foulis D.J. Superposition in quantum and classical mechanics. Foundations of Physics 1990, 20:733-744.
    • (1990) Foundations of Physics , vol.20 , pp. 733-744
    • Bennett, M.K.1    Foulis, D.J.2
  • 7
    • 34249771882 scopus 로고
    • Effect algebras and unsharp quantum logis
    • Foulis D.J., Bennett M.K. Effect algebras and unsharp quantum logis. Foundations of Physics 1994, 24:1325-1346.
    • (1994) Foundations of Physics , vol.24 , pp. 1325-1346
    • Foulis, D.J.1    Bennett, M.K.2
  • 13
    • 0016522050 scopus 로고
    • Completely positive maps on complex matrices
    • Choi M-D. Completely positive maps on complex matrices. Linear Algebra and its Applications 1975, 10:285-290.
    • (1975) Linear Algebra and its Applications , vol.10 , pp. 285-290
    • Choi, M.-D.1
  • 15
    • 33746448678 scopus 로고    scopus 로고
    • Simulating quantum mechanics with non-contextual hidden variables
    • Simulating quantum mechanics with non-contextual hidden variables. The Proceedings of the Royal Society of London A 2000, 456:2101-2114.
    • (2000) The Proceedings of the Royal Society of London A , vol.456 , pp. 2101-2114
  • 19
    • 34250115548 scopus 로고
    • Banach spaces of weights on test spaces
    • Cook T. Banach spaces of weights on test spaces. Int. J. Theor. Phys. 1985, 24:1113-1131.
    • (1985) Int. J. Theor. Phys. , vol.24 , pp. 1113-1131
    • Cook, T.1
  • 20
    • 33646216604 scopus 로고
    • A new approach to equivalence in quantum logic
    • Plenum, E. Beltrametti, B. van Fraassen (Eds.)
    • Cooke R., Hilgevoorde J. A new approach to equivalence in quantum logic. Current Issues in Quantum Logic 1981, Plenum. E. Beltrametti, B. van Fraassen (Eds.).
    • (1981) Current Issues in Quantum Logic
    • Cooke, R.1    Hilgevoorde, J.2
  • 21
    • 0002247064 scopus 로고    scopus 로고
    • Ph. D. Dissertation, University of Massachusetts, Amherst, 1968
    • Dacey, J. R., Orthomodular spaces, Ph. D. Dissertation, University of Massachusetts, Amherst, 1968.
    • Orthomodular spaces
    • Dacey, J.R.1
  • 22
    • 0007332267 scopus 로고
    • The Brooks-Jewett theorem on an orthomodular lattice
    • D'Andrea A., De Lucia P. The Brooks-Jewett theorem on an orthomodular lattice. J. Math. Anal. Appl. 1991, 154:507-522.
    • (1991) J. Math. Anal. Appl. , vol.154 , pp. 507-522
    • D'Andrea, A.1    De Lucia, P.2
  • 24
    • 78149496865 scopus 로고    scopus 로고
    • On the Yosida-Hewitt decomposition and Rttimann decomposition of states
    • De Simone A., Navara M. On the Yosida-Hewitt decomposition and Rttimann decomposition of states. Sci. Math. Japon. 2002, 56:49-62.
    • (2002) Sci. Math. Japon. , vol.56 , pp. 49-62
    • De Simone, A.1    Navara, M.2
  • 26
    • 33947385649 scopus 로고
    • Can quantum mechanical description of reality be considered complete?
    • Einstein A., Podolsky B., Rosen N. Can quantum mechanical description of reality be considered complete?. Physcial Review 1935, 47:777-780.
    • (1935) Physcial Review , vol.47 , pp. 777-780
    • Einstein, A.1    Podolsky, B.2    Rosen, N.3
  • 34
    • 0002731370 scopus 로고
    • What are quantum logics and what ought they to be?
    • Plenum, E. Beltrametti, B. van Fraassen (Eds.)
    • Foulis D.J., Randall C.H. What are quantum logics and what ought they to be?. Current Issues in Quantum Logic 1981, Plenum. E. Beltrametti, B. van Fraassen (Eds.).
    • (1981) Current Issues in Quantum Logic
    • Foulis, D.J.1    Randall, C.H.2
  • 36
    • 36448997293 scopus 로고    scopus 로고
    • Free extensions of group actions, induced representations, and the foundations of physics
    • Kluwer, Coecke (Ed.)
    • Foulis D.J., Wilce A. Free extensions of group actions, induced representations, and the foundations of physics. Current Research in Operational Quantum Logic 2000, Kluwer. Coecke (Ed.).
    • (2000) Current Research in Operational Quantum Logic
    • Foulis, D.J.1    Wilce, A.2
  • 39
    • 0000278073 scopus 로고
    • Measures on the closed subspaces of a Hilbert space
    • Gleason A. Measures on the closed subspaces of a Hilbert space. Journal of Mathematics and Mechanics 1957, 6:885-893.
    • (1957) Journal of Mathematics and Mechanics , vol.6 , pp. 885-893
    • Gleason, A.1
  • 40
    • 0039995177 scopus 로고
    • Orthomodularity is not elementary
    • Goldblatt R. Orthomodularity is not elementary. Journal of Symbolic Logic 1984, 49:401-404.
    • (1984) Journal of Symbolic Logic , vol.49 , pp. 401-404
    • Goldblatt, R.1
  • 42
    • 84882911959 scopus 로고
    • Ph. D. Dissertation, University of Florida, Gainsville
    • Greechie, R. J., Orthomodular lattices, Ph. D. Dissertation, University of Florida, Gainsville, 1966.
    • (1966) Orthomodular lattices
    • Greechie, R.J.1
  • 43
    • 0010830022 scopus 로고
    • On the structure of orthomodular lattices satisfying the chain condition
    • Greechie R.J. On the structure of orthomodular lattices satisfying the chain condition. Journal of Combinatorial Theory 1968, 4:210-218.
    • (1968) Journal of Combinatorial Theory , vol.4 , pp. 210-218
    • Greechie, R.J.1
  • 44
    • 0001441725 scopus 로고
    • Orthomodular lattices admitting no states
    • Greechie R.J. Orthomodular lattices admitting no states. J. Comb. Theory 1971, 10:119-132.
    • (1971) J. Comb. Theory , vol.10 , pp. 119-132
    • Greechie, R.J.1
  • 45
    • 0043028321 scopus 로고
    • Some results from the combinatorial approach to quantum logic
    • Greechie R.J. Some results from the combinatorial approach to quantum logic. Synthese 1974, 29:113-127.
    • (1974) Synthese , vol.29 , pp. 113-127
    • Greechie, R.J.1
  • 47
    • 37849002996 scopus 로고
    • Representations of groups by automorphisms of orthomodular lattices and posets
    • Gudder S. Representations of groups by automorphisms of orthomodular lattices and posets. Canadian Journal of Mathematics 1971, 23:659-673.
    • (1971) Canadian Journal of Mathematics , vol.23 , pp. 659-673
    • Gudder, S.1
  • 49
    • 21844487095 scopus 로고
    • Brooks-Jewett and Nikodým convergence theorems for orthoalgebras that have the weak subsequential interpolation property
    • Habil E. Brooks-Jewett and Nikodým convergence theorems for orthoalgebras that have the weak subsequential interpolation property. Internat. J. Theoret. Phys. 1995, 34:465-491.
    • (1995) Internat. J. Theoret. Phys. , vol.34 , pp. 465-491
    • Habil, E.1
  • 51
    • 0043228798 scopus 로고    scopus 로고
    • Embeddings into orthomodular lattices with given centers, state spaces and automorphism groups
    • Harding J., Navara M. Embeddings into orthomodular lattices with given centers, state spaces and automorphism groups. Order 2000, 17:239-254.
    • (2000) Order , vol.17 , pp. 239-254
    • Harding, J.1    Navara, M.2
  • 54
    • 84967782911 scopus 로고
    • Orthomodularity in infinite dimensions: a theorem of M. P. Solèr
    • Holland S. Orthomodularity in infinite dimensions: a theorem of M. P. Solèr. Bulletin of the American Mathematical Society 1995, 32:205-328.
    • (1995) Bulletin of the American Mathematical Society , vol.32 , pp. 205-328
    • Holland, S.1
  • 56
    • 0036824211 scopus 로고    scopus 로고
    • The property lattice for independent quantum systems
    • Ischi B. The property lattice for independent quantum systems. Reports on Mathematical Physics 2002, 50:155-165.
    • (2002) Reports on Mathematical Physics , vol.50 , pp. 155-165
    • Ischi, B.1
  • 60
    • 33746561894 scopus 로고
    • Ein Nichtklassischer Hilbertscher Raum
    • Keller H.A. Ein Nichtklassischer Hilbertscher Raum. Mathematische Zeitschrift 1980, 172:41-49.
    • (1980) Mathematische Zeitschrift , vol.172 , pp. 41-49
    • Keller, H.A.1
  • 63
    • 84882849690 scopus 로고
    • Ph. D. University of Massachusetts, Amherst
    • Lock, P., Categories of Manuals, Ph. D. University of Massachusetts, Amherst, 1981.
    • (1981) Categories of Manuals
    • Lock, P.1
  • 65
    • 0009298282 scopus 로고
    • Quantum mechanics in Hilbert space
    • Mackey G. Quantum mechanics in Hilbert space. American Mathematical Monthly 1957, 64(2):45-57.
    • (1957) American Mathematical Monthly , vol.64 , Issue.2 , pp. 45-57
    • Mackey, G.1
  • 67
    • 0032387250 scopus 로고    scopus 로고
    • Some characterizations of the underlying division ring of a Hilbert lattice by automorphisms
    • Mayet R. Some characterizations of the underlying division ring of a Hilbert lattice by automorphisms. International Journal of Theoretical Phsics 1998, 37:109-114.
    • (1998) International Journal of Theoretical Phsics , vol.37 , pp. 109-114
    • Mayet, R.1
  • 68
    • 0001616595 scopus 로고    scopus 로고
    • Finite precision measurement nullifies the Kochen-Specker theorem
    • Meyer D. Finite precision measurement nullifies the Kochen-Specker theorem. Physical Review Letters 1999, 83:3751-3754.
    • (1999) Physical Review Letters , vol.83 , pp. 3751-3754
    • Meyer, D.1
  • 71
    • 0009327215 scopus 로고
    • Independence of automorphism group, center and state space of quantum logics
    • Navara M. Independence of automorphism group, center and state space of quantum logics. Int. J. Theor. Phys. 1992, 31:925-935.
    • (1992) Int. J. Theor. Phys. , vol.31 , pp. 925-935
    • Navara, M.1
  • 74
    • 0000298707 scopus 로고
    • Axiomatique quantique
    • Piron C. Axiomatique quantique. Helvetica Physica Acta 1964, 37:439-468.
    • (1964) Helvetica Physica Acta , vol.37 , pp. 439-468
    • Piron, C.1
  • 76
    • 51249162336 scopus 로고
    • On Solèr's characterization of Hilbert spaces
    • Prestel A. On Solèr's characterization of Hilbert spaces. Manuscripta Mathematica 1995, 86:225-238.
    • (1995) Manuscripta Mathematica , vol.86 , pp. 225-238
    • Prestel, A.1
  • 77
    • 84966209197 scopus 로고
    • Logics with given centers and state spaces
    • Pták P. Logics with given centers and state spaces. Proc. Amer. Math. Soc. 1983, 88:106-109.
    • (1983) Proc. Amer. Math. Soc. , vol.88 , pp. 106-109
    • Pták, P.1
  • 84
    • 0000833771 scopus 로고
    • Properties and operational propositions in quantum mechanics
    • Randall C.H., Foulis D.J. Properties and operational propositions in quantum mechanics. Foundations of Physics 1983, 13:843-857.
    • (1983) Foundations of Physics , vol.13 , pp. 843-857
    • Randall, C.H.1    Foulis, D.J.2
  • 85
    • 0039597424 scopus 로고
    • A mathematical language for quantum physics
    • Lausanne, C. Gruber, C. Piron, T.M. Tâm, R. Weill (Eds.)
    • Randall C.H., Foulis D.J. A mathematical language for quantum physics. Les fondements de la mécanique quantique AVCP 1983, Lausanne. C. Gruber, C. Piron, T.M. Tâm, R. Weill (Eds.).
    • (1983) Les fondements de la mécanique quantique AVCP
    • Randall, C.H.1    Foulis, D.J.2
  • 87
    • 84972569297 scopus 로고
    • The structure of Galois connections
    • Shmuely Z. The structure of Galois connections. Pacific Journal of Mathematics 1974, 54:209-225.
    • (1974) Pacific Journal of Mathematics , vol.54 , pp. 209-225
    • Shmuely, Z.1
  • 88
    • 0001436399 scopus 로고
    • A characterization of state spaces of orthomodular lattices
    • Shultz F.W. A characterization of state spaces of orthomodular lattices. J. Combin. Theory Ser. A 1974, 17:317-328.
    • (1974) J. Combin. Theory Ser. A , vol.17 , pp. 317-328
    • Shultz, F.W.1
  • 89
    • 21844491507 scopus 로고
    • Characterization of Hilbert space by orthomodular spaces
    • Solèr M.P. Characterization of Hilbert space by orthomodular spaces. Communications in Algebra 1995, 23:219-243.
    • (1995) Communications in Algebra , vol.23 , pp. 219-243
    • Solèr, M.P.1
  • 91
    • 0004008274 scopus 로고
    • Springer, Berlin, (Reissued in English translation as M athematical Foundations of Quantum Mechanics by Princeton University Press, 1957).
    • Von Neumann J. Mathematische Grundlagen der Quantenmechanik 1932, Springer, Berlin, (Reissued in English translation as M athematical Foundations of Quantum Mechanics by Princeton University Press, 1957).
    • (1932) Mathematische Grundlagen der Quantenmechanik
    • Von Neumann, J.1
  • 96
    • 58749086017 scopus 로고    scopus 로고
    • Symmetric test spaces
    • S. P. Hotaling and A. R. Pirich (Eds.)
    • Wilce, A., Symmetric test spaces, in S. P. Hotaling and A. R. Pirich (Eds.), Proceedings of SPIE 3076 (1997), 111-130.
    • (1997) Proceedings of SPIE 3076 , pp. 111-130
    • Wilce, A.1
  • 97
    • 33646156695 scopus 로고    scopus 로고
    • Pull-backs and product tests
    • Wilce A. Pull-backs and product tests. Helvetica Physica Acta 1997, 70:803-812.
    • (1997) Helvetica Physica Acta , vol.70 , pp. 803-812
    • Wilce, A.1
  • 98
    • 0001710425 scopus 로고    scopus 로고
    • Perspectivity and congruence in partial abelian Semigroups
    • Wilce A. Perspectivity and congruence in partial abelian Semigroups. Mathematica Slovaca 1998, 47:117-135.
    • (1998) Mathematica Slovaca , vol.47 , pp. 117-135
    • Wilce, A.1
  • 108
    • 84972539993 scopus 로고
    • Axioms for non-relativistic quantum mechanics
    • Zierler N. Axioms for non-relativistic quantum mechanics. Pacific Journal of Mathematics 1961, 11:1151-1169.
    • (1961) Pacific Journal of Mathematics , vol.11 , pp. 1151-1169
    • Zierler, N.1


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