About this Journal Submit a Manuscript Table of Contents
Advances in Mathematical Physics
Volume 2014 (2014), Article ID 216713, 5 pages
http://dx.doi.org/10.1155/2014/216713
Research Article

Generalized Jordan Semitriple Maps on Hilbert Space Effect Algebras

College of Mathematics, Institute of Mathematics, Taiyuan University of Technology, Taiyuan, Shanxi 030024, China

Received 31 December 2013; Accepted 20 March 2014; Published 13 April 2014

Academic Editor: Andrei D. Mironov

Copyright © 2014 Qing Yuan and Kan He. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. G. Ludwig, Foundations of Quantum Mechanics, vol. 1, Springer, Berlin, Germany, 1983. View at MathSciNet
  2. J. Hou, K. He, and X. Qi, “Characterizing sequential isomorphisms on Hilbert space effect algebras,” Journal of Physics A: Mathematical and Theoretical, vol. 43, no. 31, Article ID 315206, 2010. View at Publisher · View at Google Scholar
  3. K. He, J.-C. Hou, and C.-K. Li, “A geometric characterization of invertible quantum measurement maps,” Journal of Functional Analysis, vol. 264, no. 2, pp. 464–478, 2013. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. S. O. Kim, “Automorphisms of Hilbert space effect algebras,” Linear Algebra and Its Applications, vol. 402, pp. 193–198, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. L. Molnár, “On some automorphisms of the set of effects on Hilbert space,” Letters in Mathematical Physics, vol. 51, no. 1, pp. 37–45, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  6. L. Molnár, “Preservers on Hilbert space effects,” Linear Algebra and Its Applications, vol. 370, pp. 287–300, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. L. Molnár and P. Šemrl, “Conditional affine and condional sequential automorphisms of the set of Hilbert space effect algebras,” In press.
  8. L. Molnár, Selected Preserver Problems on Algebraic Structures of Linear Operators and on Function Spaces, vol. 1895 of Lecture Notes in Mathematics, Springer, 2007. View at MathSciNet
  9. L. J. Bunce and J. D. M. Wright, “The Mackey-Gleason problem,” Bulletin of the American Mathematical Society, vol. 26, no. 2, pp. 288–293, 1992. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet