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1 Jan Hamhalter Czech Technical University - El. Eng. Department of Mathematics Technická Prague 6 e mail: Hamhalte@math.feld.cvut.cz List of Publications Books [A] Jan Hamhalter: Quantum Measure Theory, Kluwer Academic Publishers, Dordrecht, Boston, London (2003). Book Series: Fundamental Theories of Physics, Vol pp 418, ISBN Chapter in the book [B] Jan Hamhalter: Quantum Structures and Operator Algebras, Handbook of Quantum Logic and Quantum Structures: Quantum Structures, , Elsevier B.V., Amsterdam, 2007, Edited by K.Engesser, Dov M. Gabbay, D.Lehmann. ISBN:
2 Papers in journals [1] J.Hamhalter : On uniformly rotund spaces, Comment. Math. Univ. Carolinae 28,1 (1987), 1-5. [2] J. Hamhalter, P. Pták : A completeness criterion for inner product spaces, Bulletin of the London Mathematical Society 19 (1987), [3] J.Hamhalter : On the lattice of closed subspaces in a topological linear space, Proc. 1st Winter School on Measure Theory, Liptovsk Jn, Bratislava (1988), [4] J. Hamhalter : The sums of closed subspaces in a topological linear space, Acta Univ. Carolinae - Math. et Phys., Vol. 30 (1989), No. 2, [5] J. Hamhalter: On modular spaces, Bulletin of the Polish Academy of Sciences Mathematics 37 (1989), [6] J. Hamhalter: A representation of finitely-modular AC-lattices, Mathematishe Nachrichten, 147, (1990), [7] J. Hamhalter: States on W*-algebras and orthogonal vector measures, Proceedings of the American Mathematical Society 110, (1990), [8] J. Hamhalter : Orthogonal vector measures on projection lattices in a Hilbert space, Comment. Math. Univ. Carolinae 31 (1990), [9] J. Hamhalter : Orthogonal vector measures, Proc. 2nd Winter School on Measure Theory, Liptovsk Jn, Bratislava (1990), [10] J. Hamhalter, M. Navara: Orthosymmetry and modularity in ortholattices, Demonstratio Mathematica, Vol 24 (1991), [11] J. Hamhalter, P. Pták : Hilbert-space-valued measures on Boolean algebras (extensions), Acta Math. Univ. Comenianae Vol LX, 2 (1991), [12] J. Hamhalter : Additivity of vector Gleason measures, International Journal of Theoretical Physics, Vol. 31, No. 1 (1992),
3 [13] J. Hamhalter, P. Pták : Hilbert-space-valued states on quantum logics, Applications of Mathematics, Vol. 37, No.1 (1992), [14] J. Hamhalter : Completeness and modular cross-symmetry in normed linear spaces, Czechoslovak Mathematical Journal, Vol 42, No. 2 (117), (1992), [15] J. Hamhalter : Centrally determined states on von Neumann algebras, Mathematica Bohemica, Vol. 117, No. 2 (1992), [16] J. Hamhalter : On topological linear spaces whose subspace lattices are modular, Rendiconti del Circolo Matematiko di Palermo, Serie II, Tomo XXXI (1992), [17] J. Hamhalter: Pure Jauch-Piron states on von Neumann algebras, Ann. Inst. Henri Poincar, Vol 58, No 2. (1993), [18] J. Hamhalter : States on projection logics of Neumann algebras, International Journal of Theoretical Physics, Vol. 32, No. 10 (1993), [19] J. Hamhalter : States on projection logics of operator algebras, Tatra Mountains Math. Publ., 3 (1993), [20] L.J. Bunce, J. Hamhalter: Jauch-Piron states on von Neumann algebras, Mathematische Zeitschrift, 215, (1994), [21] J. Hamhalter : Gleason property and extensions of states on projection logics, Bulletin of the London Mathematical Society, 26, (1994), [22] L.J. Bunce and J. Hamhalter : Traces and subadditive measures on projections in JBW-algebras and von Neumann algebras, Proceedings of the American Mathematical Society, Vol. 123, No. 1, (1995), [23] L.J. Bunce and J. Hamhalter : Countably additive homomorphisms between von Neumann algebras, Proceedings of the American Mathematical Society, 123, Nu. 11, (1995), [24] L.J. Bunce and J. Hamhalter : Extension of Jauch-Piron states on Jordan algebras, Mathematical Proceedings of the Cambridge Philosophical Society, 119, (1996),
4 [25] A. Avallone and J.Hamhalter : Extension theorems (vector measures on quantum logics), Czechoslovak Mathematical Journal, 46, (121), (1996), [26] J. Hamhalter : Extension properties of states on operator algebras, International Journal of Theoretical Physics, 34, No. 8, (1995), [27] J.Hamhalter, M.Navara and P.Pták : States on orthoalgebras, International Journal of Theoretical Physics, 34, No. 8, (1995), [28] J.Hamhalter: The Nikodym boundedness theorem, Tatra Mountains Math. Publ., 10, (1997), [29] J.Hamhalter: Statistical independence of operator algebras, Ann. Inst. Henri Poincaré, Vol. 67, no 4, (1997), p [30] J.Hamhalter: Determinacy of states and independence of operator algebras, Int. J. Theor. Physics, Vol. 37, nu. 1, (1998), [31] J.Hamhalter: Restricting pure states on JB algebras to maximal associative subalgebras, Tatra Mountains Math. Publ., 15 (1998), Special Issue: Quantum Structures II, Dedicated to Gudrun Kalmbach. [32] J.Hamhalter: Universal state space embeddability of Jordan Banach algebras, Proc. Amer. Math. Soc., 127 (1999), [33] J.Hamhalter: Supporting sequences of pure states on JB algebras, Studia Mathematica 136 (1), (1999), [34] L.J.Bunce, J.Hamhalter: Jauch-Piron states and σ-additivity, Reviews in Mathematical Physics, Vol. 12, No. 6 (June 2000), [35] J.Hamhalter: Restricting and extending states and positive maps on operator algebras, International Journal of Theoretical Physics, 39, (3), March 2000, [36] J.Hamhalter: Pure states on Jordan algebras, Mathematica Bohemica, Vol 126, No. 1, (2001), [37] G.Cattaneo, J.Hamhalter, P.Pták: On the de Morgan property of the standard Brower-Zadeh poset, Foundations of Physics, 30 (10), October 2000,
5 [38] J.Hamhalter: C -independence and W -independence of von Neumann algebras, Mathematische Nachrichten , (2002), [39] J.Hamhalter: Multiplicativity of extremal positive maps on abelian parts of operator algebras, Journal of Operator Theory, 48, (2002), [40] G.Cattaneo and J.Hamhalter: De Morgan property for effect algebras of von Neumann algebras, Letters in Mathematical Physics, Vol.59, No.3, pp (2002) [41] J.Hamhalter: Noncommutative phenomena in measure theory on operator algebras, Rend. Istit. Mat. Univ. Trieste, Vol. XXXIV, (2002). [42] J.Hamhalter: States and structure of von Neumann algebra, International Journal of Theoretical Physics, Vol. 43, October 2004, Issue 10, [43] J.Hamhalter: Traces, dispersions of states and hidden variables, Foundations of Physics Letters, Vol 17, Number 6, November 2004, (2004). [44] L.J.Bunce and J.Hamhalter: C -Independence, Product States and Commutation, Ann. Henri Poincare, Vol 5, Number 5 (2004), Birkhaser Verlag AG, [45] J.Hamhalter: Orthogonal pure states in operator theory, International Journal of Theoretical Physics, Vol. 44, No.7, July 2005, [46] J. Hamhalter: States on Operator Algebras and Axiomatic System of Quantum Theory, International Journal of Theoretical Physics, Vol. 44, No. 11, November 2005, [47] E.Chetcuti and J.Hamhalter: Vitali-Hahn-Saks Theorem For Vector Measures on Operator Algebras, The Quarterly Journal of Mathematics, 2006, 57: , Oxford Press. [48] J.Hamhalter: Spectral Order of Operators and Range Projections, J.Math.Anal.Appl. 331 (2007), [49] J.Hamhalter: Spectral Lattices, International Journal of Theoretical Physics, 47, (2008),
6 [50] E.Chetcuti and J.Hamhalter: Noncommutative Vitali-Hahn-Saks theorem holds precisely for finite W*-algebras, The Quarterly Journal of Mathematics, Oxford Press, 2009, 60: 45-51, March [51] E.Chetcuti and J.Hamhalter: A noncommutative Brooks-Jewett Theorem, Journal of Mathematical Analysis and Applications, 355 (2009), [52] M.Bohata and J.Hamhalter: Maximal violation of Bell s inequalities and Pauli spin matrices, Journal of Mathematical Physics 50, (2009). [53] M.Bohata and J.Hamhalter: Bell s correlations and the spin systems, Foundations of Physics, (2010) Vol. 40, Num. 8, [54] R.Conti and J.Hamhalter, Independence of Group Algebras, Mathematische Nachrichten, 283, No. 6, , (2010), DOI, /mana [55] J.Hamhalter: Absolute Continuity and Noncommutative Measure Theory, International Journal of Theoretical Physics, Vol. 49, , [56] J.Hamhalter and E.Turilova: Subspace structures in inner product spaces and von Neumann algebras, Int J Theor Phys (2011), 50: , DOI /s [57] J.Hamhalter: Isomorphisms of ordered structures of abelian C - subalgebras of C -algebras, Journal of Mathematical Analysis and Applications, 383, (2011), [58] E.Chetcuti and J.Hamhalter: Completeness of -symmetric Gelfand- Naimark-Segal inner product spaces. The Quarterly Journal of Mathematics, Oxford Press, 2012, vol. 63, no. 2, p ISSN [59] J.Hamhalter: Linear maps preserving maximal deviation and Jordan structure of the quantum system, Journal of Mathematical Physics, 53, Issue 12, , (2012), DOI / [60] J.Hamhalter and E.Turilova: Affiliated subspaces and the structure of von Neumann algebras, Journal of Operator Theory, 69:1(2013), , doi: /jot.2010jul
7 [61] J.Hamhalter, E.Turilova: Structure of associative subalgebras of Jordan operator algebras, The Quarterly Journal of Mathematics, Oxford Press, 64, 2, (2013), [62] M.Bohata and J.Hamhalter: Nonlinear maps on von Neumann algebras preserving the star order, Linear and Multilinear Algebra, 61, (2013), [63] J.Hamhalter and E.Turilova: Affiliated subspaces and infiniteness of von Neumann algebras, Mathematische Nachrichten, 286, No.10, (2013)/DOI /mana [64] J.Hamhalter and E.Turilova: Automorphisms of ordered structures of abelian parts of operator algebras and their role in quantum theory. International Journal of Theoretical Physics, (2014), 53: DOI /s , Publisched online 21 June [65] J.Hamhalter and E.Turilova: Classes of invariant subspaces for some operator algebras, International Journal of Theoretical Physics, (2014), 53: DOI /s y, Published Online, 27 July, [66] M.Bohata and J.Hamhalter: Star order on JBW algebras, Journal of Mathematical Analysis and Applications 417 (2014) [67] R.Simon, N.Mukunda, S.Chaturvedi, V.Srinivasan, J.Hamhalter: Comment on: Two elementary proofs of the Wigner theorem on symmetry in quantum mechanics [Phys. Lett. A 372 (2008) 6847], Physics Letters A, 378, (2014), [68] J.Hamhalter: Dye s Theorem and Gleason s Theorem for AW*-algebras, J. Math.Anal.Appl. 422 (2015), [69] E.Chetcuti, J.Hamhalter, H.Weber: The order topology for a von Neumann algebra, Studia Mathematica, 230 (2), , (2015). [70] J.Hamhalter and V.Sobotíková: Bell correlated and EPR states in the framework of Jordan algebras, Foundations of Physics, 46(3), , (2016), DOI /s
8 [71] J.Hamhalter, K. Kudaymbergerov, A.M.Peralta, B.Russo: Boundedness of completely additive measures with applications to 2-local triple derivations, Journal of Mathematical Physics, 57, (2016). (23 pages) [72] J.Hamhalter and E.Turilova: Orthogonal measures on state spaces and context structures of quantum theory, International Journal of Theoretical Physics, (2016), 55: , DOI /s [73] M.Bohata, J.Hamhalter: Star order on operator and function algebras and its nonlinear preservers, Linear and Multilinear Algebra, (14 pages) [74] J.Hamhalter and E.Turilova: Completeness of Gelfand-Neumark-Segal product space on Jordan algebras, Mathematica Slovaka, Vol. 66, Issue 2, (2016). [75] M.Bohata, J.Hamhalter, O.Kalenda: On Markushevich bases in preduals of von Neumann algebras, Israel J. Math. 214 (2016), no. 2, doi: /s y [76] J.Hamhalter and E.Turilova: Spectral Order on AW*-Algebras and Its Preservers, ISSN , Lobachevskii Journal of Mathematics, 2016, Vol. 37, No. 4, pp Pleiades Publishing, Ltd., [77] M.Bohata, J.Hamhalter, O.F.K. Kalenda: Decompositions of preduals of JBW and JBW algebras, J. Math. Anal. Appl. 446 (2017) [78] J.Hamhalter and E.Turilova: Quantum Spectral Symmetries, International Journal of Theoretical Physics, December 2017, Vol. 56, Issue 12, pp [79] J.Barvínek, J.Hamhalter: Linear algebraic proof of Wigner Theorem and its consequences, Mathematica Slovaca, No.2, Vol. 67 (2017). [80] J.Hamhalter and S.Jin: Operational independence and tensor products of C*-algebras, Journal of Mathematical Physics, 58, (2017). [81] M.Bohata, J.Hamhalter, O.F.K. Kalenda, A.M.Peralta, H.Pfitzner: Preduals of JB -triples are 1-Plichko spaces, Quarterly Journal of Mathematics, Q. J. Math. 69, (2018). 1. 8
9 [82] J.Hamhalter: Piecewise *-homomorphisms and Jordan maps on C*- algebras and factor von Neumann algebras, Journal of Mathematical Analysis and Applications, 462 (2018), [83] J.Hamhalter: Structure of abelian parts of C*-algebra and its preservers, Acta Szeged, to appear. [84] J.Hamhalter and E.Turilova: Choquet order and Jordan maps, Lobachevskii Journal of Mathematics, 2018, Vol. 39, No. 3, pp , Pleiades Publishing, Ltd.,
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