Skip to main content
Log in

Antosik-Mikusinski Matrix Convergence Theorem in Quantum Logics

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

In this paper we establish the order topology type Antosik-Mikusinski infinite matrix convergence theorem in quantum logics. As application, we prove the Hahn-Schur summation theorem in quantum logics, too.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Antosik, P. and Swartz, C. (1985). Matrix Methods in Analysis. Springer Lecture Notes in Mathematics 1113, Heidelberg.

  • d'Andrea, A. B. and de Lucia, P. (1991). The Brooks-Jewett Theorem on an Orthomodular Lattice. Journal of Mathematical Analysis and Applications, 154 507-522.

    Google Scholar 

  • Birkhoff, G. (1948). Lattice Theory, A.M.S. Colloquium New York.

    Google Scholar 

  • Foulis, D. J. and Bennett, M. K. (1994). Effect Algebras and unsharp quantum logics. Foundations of Physics, 24, 1331-1352.

    Google Scholar 

  • Habil, E. D. (1995). Brooks-Jewet and Nikodým convergence theorems for orthoalgebras that have the weak subsequential interpolation property. International Journal of Theoretical Physics, 34, 465-491.

    Google Scholar 

  • Mazario, F. G. (2001). Convergence theorems for topological group valued measures on effect algebras. Bulletin of Australian Mathematics Society, 64, 213-231.

    Google Scholar 

  • Swartz, C. (1996). Infinite Matrices and the Gliding Hump, World Science, Singapore.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wu, J., Lu, S. & Kim, D. Antosik-Mikusinski Matrix Convergence Theorem in Quantum Logics. International Journal of Theoretical Physics 42, 1905–1911 (2003). https://doi.org/10.1023/A:1027322716823

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1027322716823

Navigation