Previous |  Up |  Next

Article

References:
[1] AMEMIYA L.-ARAKI H.: A remark on Pirorís paper. Publ. Res. Inst. Math. Sci. 2 (1966), 423-427. MR 0213266
[2] CHETCUTI E.-DVUREČENSKIJ A.: A finitely additive state criterion for the completeness of inner product spaces. Lett. Math. Phys. 64 (2003), 221-227. MR 2009260 | Zbl 1041.46014
[3] DVUREČENSKIJ A.: A new algebraic criterion for completeness of inner product spaces. Lett. Math. Phys. 58 (2001), 205-208. MR 1892920 | Zbl 1005.46012
[4] DVUREČENSKIJ A.: Gleason's Theorem and Applications. Kluwer Acad. Publ., Dordrecht-Boston-London, 1993. MR 1256736
[5] DVUREČENSKIJ A.-PTÁK P.: Quantum logics with the Riesz Interpolation Property. Math. Nachr. 271 (2004) (To appear). MR 2068880 | Zbl 1051.03052
[6] DVUREČENSKIJ A.-NEUBRUNN T.-PULMANNOVÁ S.: Finitely additive states and completeness of inner product spaces. Found. Phys. 20 (1990), 1091-1102. MR 1078957 | Zbl 0752.46008
[7] FRENICHE F.: The Vitali-Hahn-Sachs theorem for Boolean algebras with the subsequential interpolation property. Proc. Amer. Math. Soc. 92 (1984), 312-366. MR 0759653
[8] GOODEARL K. R.: Partially ordered Abelian groups with interpolation. Math. Surveys Monogr. 20, Amer. Math. Soc, Providence, RI, 1986. MR 0845783 | Zbl 0589.06008
[9] HAMHALТER J.-PТÁK P.: A completeness criterion for inner product spaces. Bull. London Math. Soc. 19 (1987), 259-263. MR 0879514
[10] HARDING J.: Decompositions in quantum logics. Тrans. Amer. Math. Soc. 348 (1996), 1839-1862. MR 1340177
[11] HARDING J.: Regularity in quantum logics. Internat. J. Тheoret. Phys. 37 (1998), 1173-1212. MR 1626771
[12] HOLLAND S. S. JR.: Orthomodularity in infinite dimensions - a theorem of M. Solér. Bull. Amer. Math. Soc. 32 (1995), 205-234. MR 1307904 | Zbl 0856.11021
[13] KALMBACH G.: Orthomodular Lattices. Academic Press, London, 1983. MR 0716496 | Zbl 0528.06012
[14] KELLER H.: Ein nicht-klassischer Hilbertischen Raum. Math. Z. 272 (1980), 42-49. MR 0576294
[15] MAEDA F.-MAEDA S.: Theory of Symmetric Lattices. Springer-Verlag, Berlin, 1970. MR 0282889 | Zbl 0219.06002
[16] PIZIAK R.: Lattice theory, quadratic spaces, and quantum proposition systems. Found. Phys. 20 (1990), 651-665. MR 1067796
[17] PТÁK P.-PULMANNOVÁ S.: Orthomodular Structures as Quantum Logics. Kluwer Acad. Publ., Dordrecht, 1991. MR 1176314
[18] PTÁK P.-WEBER H.: Lattice properties of subspace families in an inner product space. Proc. Amer. Math. Soc. 129 (2001), 2111-2117. MR 1825924 | Zbl 0968.03077
[19] SOLER M.: Characterization of Hilbert space by orthomodular spaces. Comm. Algebra 23 (1995), 219-243. MR 1311786
[20] VARADARAJAN V.: Geometry of Quantum Theory I; II. Van Nostrand, Princeton, 1968; 1970.
[21] WEBER H.: Compactness in spaces of group-valued contents, the Vitali-Hahn-Sachs theorem and Nikodym boundedness theorem. Rocky Mountain J. Math. 16 (1986), 253-275. MR 0843053
Partner of
EuDML logo