J.Hamhalter: Quantum
Measure Theory, Kluwer Academic Publishers, Dordrecht, Boston, London
(2003).
Book Series: Fundamental Theories of Physics, Vol. 134.
418 pages, ISBN 1-4020-1714-6.
(See Monograph )
J.Hamhalter: Quantum Structures and Operator Algebras, Handbook of Quantum
Logic and Quantum Structures: 285-333, Elsevier B.V., Amsterdam 2007, Edited by
K.Engesser, Dov M. Gabbay, D.Lehmann. ISBN: 978-0-444-52870-4.
·
M.Bohata and
J.Hamhalter : Maximal violation of Bells inequalities and Pauli spin matrice,
Journal of Mathematical Physics, 50, 082101 (2009).
·
J.Hamhalter: Absolute
Continuity and Noncommutative Measure Theory, International Journal of
Theoretical Physics, to appear.
·
E.Chetcuti and
J.Hamhalter: Vitali-Hahn-Saks Theorem Holds Precisely For Finite W*-algebras, The
Quarterly Journal of Mathematics,
2009 60: 53-56 Oxford
Press.
·
E.Chetcuti and
J.Hamhalter: A noncommutative Brook-Jewett Theorem, Journal of Mathematical Analysis and Applications, 355 (2009), 839-845.
·
R.Conti and
J.Hamhalter: Independence of Group Algebras, Mathematische Nachrichten ,
283 , No. 6, 818-827 (2010).
·
J.Hamhalter: Spectral
Lattices, International Journal of Theoretical Physics , 47, (2008), 245-251.
·
J.Hamhalter: Spectral Order of
Operators and Range Projections, Journal of Mathematical Analysis and
Applications, 331 (2007), 1122-1134.
·
E.Chetcuti and
J.Hamhalter: Vitali-Hahn-Saks Theorem for Vector Measures on Operator Algebras,
The Quarterly Journal of Mathematics, Oxford University Press, 2006, 57:
479-493.
·
J.Hamhalter: States on Operator
Algebras and Axiomatic System of Quantum Theory, International Journal
of Theoretical Physics, Vol. 44 ,
No. 11, November 2005, 1941-1954.
·
J.Hamhalter: Orthogonal pure states in operator
theory, International Journal of Theoretical Physics, Vol. 44 ,
No. 7, July 2005, 839-847.
·
L.J.Bunce and
J.Hamhalter: C*-Independence,
Product States and Commutation, Ann. Inst. Henri Poincare Vol. 5,
Number 5, (2004), 1081-1095.
·
J.Hamhalter: Traces,
dispersions of states and hidden variables, Foundations of Physics Letters, Vol.
17, Number 6, (2004), 581-597.
·
J.Hamhalter:
Noncommutatitive phenomena in measure theory on operator algebras, Rend.
Instit. Mat. Univ. Trieste, Vol. XXXIV, (2002) 19-43.
·
G.Cattaneo and
J.Hamhalter: De Morgan property for effect algebras of von Neumann algebras, Letters
in Mathematical Physics, Vol.59, No.3, (2002), pp. 243-252.
·
J.Hamhalter:
Multiplicativity of extremal positive maps on abelian parts of operator
algebras, Journal of Operator Theory, 48, (2002), 1-18.
·
J.Hamhalter:
C*-independence and W*-independence of von Neumann algebras, Mathematische
Nachrichten 239-240, (2002), 146-156.
·
J.Hamhalter: Pure
states on Jordan algebras, Mathematica Bohemica, Vol. 126, No. 1,
(2001), 81-91.
·
J.Hamhalter:
Restricting and extending states and positive maps on operator algebras, International
Journal of Theoretical Physics, 39, (3), March 2000, 721-726.
·
G.Cattaneo,
J.Hamhalter and P.Ptak: On the de Morgan property of the standard Brower-Zadeh
poset, Foundations of Physics, 30 (10), October 2000, 1801-1805.
·
L.J.Bunce and
J.Hamhalter: Jauch-Piron states and sigma-additivity, Reviews in
Mathematical Physics, Vol. 12, No. 6 (June 2000), 767-777.
·
J.Hamhalter:
Supporting sequences of pure states on JB algebras, Studia Mathematica 136
(1), (1999), 37-47.
·
J.Hamhalter: Universal
state space embeddability of Jordan--Banach algebras, Proceedings of the
American Mathematical Society, 127 (1999), 131-137.
·
J.Hamhalter:
Restricting pure states on JB algebras to maximal associative subalgebras, Tatra
Mountains Math. Publ., 15 (1998), 165-171. Special Issue: Quantum
Structures II, Dedicated to Gudrun Kalmbach.
·
J.Hamhalter:
Determinacy of states and independence of operator algebras, International
Journal of Theoretical Physics, Vol. 37, Nu. 1, (1998), 599-607.
·
J.Hamhalter:
Statistical independence of operator algebras, Ann. Inst. Henri Poincare,
Vol. 67, no. 4, (1997), 447-462.
·
J.Hamhalter: The
Nikodym boundedness theorem, Tatra Mountains Math. Publ., 10,
(1997), 179-181.
·
Avallone and
J.Hamhalter : Extension theorems (vector measures on quantum logics), Czechoslovak
Mathematical Journal, 46, (121), (1996), 179-192.
·
L.J. Bunce and J.
Hamhalter: Extension of Jauch-Piron states on Jordan algebras, Mathematical
Proceedings of the Cambridge Philosophical Society, 119, (1996),
279-286.
·
J.Hamhalter, M.Navara
and P.Ptak: States on orthoalgebras, International Journal of Theoretical
Physics, 34, No. 8, (1995), 1439-1465.
·
J. Hamhalter:
Extension properties of states on operator algebras, International Journal
of Theoretical Physics, 34, No. 8, (1995), 1431-1437.
·
L.J. Bunce and J.
Hamhalter: Countably additive homomorphisms between von Neumann algebras, Proceedings
of the American Mathematical Society, 123, Nu. 11, (1995), 157-160.
·
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), 157-160.
·
J. Hamhalter: Gleason
property and extensions of states on projection logics, Bulletin of the London
Mathematical Society, 26, (1994), 367-372.
·
L.J. Bunce and J.
Hamhalter: Jauch-Piron states on von Neumann algebras, Mathematische
Zeitschrift, 215, (1994), 491-502.