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The Hahn-Schur Theorem on effect algebras

  • A. Aizpuru (a1), M. Nicasio-Llach (a1) and M. Tamayo (a1)

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In this paper we obtain new results on the uniform convergence on matrices and a new version of the matrix theorem of the Hahn-Schur summation theorem in effect algebras.

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References

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[1]Aizpuru, A. and Gutiérrez-Dávila, A., ‘Unconditionally Cauchy series and uniform convergence on Matrices’, Chinese Ann. Math. Ser. B 25 (2004), 335346.
[2]Aizpuru, A. and Gutiérrez-Dávila, A., ‘On the interchange of series and applications’, Bull. Belg. Math. Soc. 11 (2004), 409430.
[3]Aizpuru, A., Gutiérrez-Dávila, A. and Wu, J., ‘Measures defined on quantum logics of sets’, Internat. J. Theoret. Phys. 44 (2005), 14511458.
[4]Aizpuru, A. and Tamayo, M., ‘Classical properties of measure theory on effect algebras’, Fuzzy Sets and Systems 157 (2006), 21392143.
[5]Aizpuru, A. and Tamayo, M., ‘Matrix convergence theorems in quantum logics’, (preprint).
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[11]Gudder, S., Quantum probability (Academic Press, London, New York, 1988).
[12]Mazario, F.G., ‘Convergence theorems for topological group valued measures on effect algebras’, Bull. Austral. Math. Soc. 64 (2001), 213231.
[13]Riecanova, Z., ‘Subalgebras, intervals and Central elements of generalized effect algebras’, Internat. J. Theoret. Phys. 38 (1994), 32043220.
[14]Wu, J., Lu, S. and Kim, D., ‘Antosik-Mikusinski Matrix convergence theorem in quantum logics’, Internat. J. Theoret. Phys. 42 (2003), 19051911.
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[16]Wu, J. and Ma, Z., ‘The Brooks-Jewett theorem on effect algebras with the sequential completeness property’, Czechoslovak J. Phys. 53 (2003), 379383.
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The Hahn-Schur Theorem on effect algebras

  • A. Aizpuru (a1), M. Nicasio-Llach (a1) and M. Tamayo (a1)

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