Approximation in quantum measure spaces

References

[1] Avallone, A.—Basile, A.: On a Marinacci uniqueness theorem for measures, J. Math. Anal. Appl. 286 (2003), 378–390.10.1016/S0022-247X(03)00274-9Search in Google Scholar

[2] Beltrametti, E. G.—Cassinelli, G.: The Logic of Quantum Mechanics, Addison-Wesley Publishing Co., Reading, Massachusetts, 1981.Search in Google Scholar

[3] Bennet, M. K.—Foulis, D. J.: Effect algebras and unsharp quantum logics, Found. Phys. 24 (1994), 1331–1352.10.1007/BF02283036Search in Google Scholar

[4] Beran, L.: Orthomodular Lattices, Algebraic Approach, D. Reidel, Holland, 1984.10.1007/978-94-009-5215-7Search in Google Scholar

[5] Birkhoff, G.—Von Neumann, J.: The logic of quantum mechanics, Ann. Math. 37 (1936), 823–834.10.2307/1968621Search in Google Scholar

[6] Butnariu, D.—Klement, P., Triangular Norm-based Measures and Games with Fuzzy Coalitions, Kluwer Acad. Pub., Dordrecht, 1993.10.1007/978-94-017-3602-2Search in Google Scholar

[7] Dvurečenskij, A.—Pulmannová, S.: Difference posets, effects and quantum measurements, Internat. J. Theoret. Phys. 33 (1994), 819–825.10.1007/BF00672820Search in Google Scholar

[8] Dvurečenskij, A.—Pulmannová, S.: New Trends in Quantum Structures, Kluwer Acad. Pub., Dordrecht, 2000.10.1007/978-94-017-2422-7Search in Google Scholar

[9] Engesser, K.—Gabbay, D. M.—Lehmann, D.: Handbook of Quantum Logic and Quantum Structures, Elsevier, 2009.Search in Google Scholar

[10] Ghirardato, P.—Marinacci, M.: Ambiguity made precise: A comparative foundation, J. Econom. Theory 102 (2002), 251–289.10.1006/jeth.2001.2815Search in Google Scholar

[11] Kagan, E.—Ben-Gal, I.: Navigation of quantum-controlled mobile robots. In: Recent Advances in Mobile Robotics (A. Topalov, ed.), In Tech, 2011, pp. 311–326.10.5772/25944Search in Google Scholar

[12] Kalmbach, G.: Orthomodular Lattices, Academic Press, London, 1983.Search in Google Scholar

[13] Khare, M.—Roy, S.: Conditional entropy and the Rokhlin metric on an orthomodular lattice with Bayessian state, Internat. J. Theoret. Phys. 47 (2008), 1386–1396.10.1007/s10773-007-9581-1Search in Google Scholar

[14] Khare, M.—Roy, S.: Entropy of quantum dynamical systems and sufficient families in orthomodular lattices with Bayessian state, Comm. Theor. Phys. 50 (2008), 551–556.10.1088/0253-6102/50/3/02Search in Google Scholar

[15] Khare, M.—Singh, A. K.: Atoms and Dobrakov submeasures in effect algebras, Fuzzy Sets and Systems 159 (2008), 1123–1128.10.1016/j.fss.2007.11.005Search in Google Scholar

[16] Khare, M.—Singh, A. K.: Atoms and Saks type decomposition in effect algebras, Novi Sad J. Math. 38 (2008), 59–70.Search in Google Scholar

[17] Khare, M.—Singh, A. K.: Pseudo-atoms, atoms and a Jordan type decomposition in effect algebras, J. Math. Anal. Appl. 344 (2008), 238–252.10.1016/j.jmaa.2008.03.003Search in Google Scholar

[18] Khare, M.—Singh, A.K.: Weakly tight functions, their Jordan type decomposition and total variation in effect algebras, J. Math. Anal. Appl. 344 (2008), 535–545.10.1016/j.jmaa.2008.03.017Search in Google Scholar

[19] Kolmogorov, A. N.: Grundbegriffe der Wahrscheinlichkeitsrechnung, Springer, Berlin, 1933.10.1007/978-3-642-49888-6Search in Google Scholar

[20] Kôpka, F.—Chovanec: D-posets, Math. Slovaca 44 (1994), 21–34.Search in Google Scholar

[21] Marczewski, E.: On compact measures, Fund. Math. 40 (1953), 113–124.10.4064/fm-40-1-113-124Search in Google Scholar

[22] Pap, E.: Null-additive Set Functions, Kluwer Acad. Pub., Dordrecht, 1995.Search in Google Scholar

[23] Shukla, A.: Theory of Generalized Measures and Applications: Generalized Measures on Quantum Structures and Entropy. D. Phil. Thesis, University of Allahabad, Allahabad, India, 2015.Search in Google Scholar

[24] Solér, M. P.: Characterization of Hilbert space by orthomodular spaces, Comm. Algebra 23 (1995), 219–243.10.1080/00927879508825218Search in Google Scholar