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Lyapunov's Theorem for Measures on D-posets

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Abstract

We generalize Lyapunov's convexity theorem for measures on effect algebras.

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REFERENCES

  • Armstrong, T. E. and Prikry, K. (1981). Liapunoff's theorem for nonatomic, finitely additive, bounded, finite-dimensional, vector-valued measures, Transactions of AMS 266, 499-514.

    Google Scholar 

  • Avallone, A. (1995). Liapunov theorem for modular functions, International Journal of Theoretical Physics 34(8), 1197-1204.

    Google Scholar 

  • Avallone, A. and Basile, A. (2003). On a Marinacci uniqueness theorem for measures. J. Math. Anal. Appl. 286(2), 348-390.

    Google Scholar 

  • Avallone, A. and Barbieri, G. (1997). Range of finitely additive fuzzy measures. Fuzzy Sets and Systems 89, 231-241.

    Google Scholar 

  • Barbieri, G., Lepellere, M. A., and Weber, H. (2001). The Hahn decomposition theorem for fuzzy measures and applications. Fuzzy Sets and Systems 118, 519-528.

    Google Scholar 

  • Barbieri, G. and Weber, H. (1998). Atopological approach to the study of fuzzy measures. In Functional Analysis and Economic Theory, Abramovich, Avgerinos, Yannelis, eds., Springer, Berlin, pp. 17-46.

    Google Scholar 

  • Bhaskara Rao, K. P. S. and Bhaskara Rao, M. (1983). Theory of Charges: A Study of Finitely Additive Measures, Academic Press, London.

    Google Scholar 

  • Candeloro, D. and Martellotti Sacchetti, A. (1979). Sul rango di una massa vettoriale. Atti Sem. Mat. Fis. Univ. Modena 28, 102-111.

    Google Scholar 

  • Chovanec, F. and Kopka, F. (1994). D-posets, Mathematica Slovaca 44,21-34.

    Google Scholar 

  • Dvurčenskij, A. and Pulmannová, S. (2000). New trends in quantum structures. Mathematics and its Applications, Kluwer Academic Publishers, Dordrecht, p. 516.

    Google Scholar 

  • Foulis, D. J. and Bennett, M. K. (1994). Effect algebras and unsharp quantum logics. Special issue dedicated to Constantin Piron on the occasion of his sixtieth birthday. Foundations of Physics 24(10), 1331-1352.

    Google Scholar 

  • Halmos, P. R. (1948). The range of a vector measure. Bulletin AMS 54, 416-421.

    Google Scholar 

  • Neubrunn, T. and Riecan, B. (1997). Integral, Measure and Ordering, Kluwer Academic Publishers, Dordrecht.

    Google Scholar 

  • Volkmer, H. and Weber, H. (1983). Der Wertebereich atomloser Inhalte. Archives of Mathematics 40(5), 464-474.

    Google Scholar 

  • Weber, H. (1995). Lattice uniformities and modular functions on orthomodular lattices. Order 12, 295-305.

    Google Scholar 

  • Weber, H. (1996). On modular functions. Functiones et approximatio XXIV,35-52.

    Google Scholar 

  • Weber, H. (1999). Uniform lattices and modular functions. Atti Sem. Mat. Fis. Univ. Modena XLVII, 159-182.

    Google Scholar 

  • Weber, H. (2002). Two extension theorems. Modular functions on complemented lattices. Czechoslovak Journal of Mathematics 52(127) (1), 55-74.

    Google Scholar 

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Barbieri, G. Lyapunov's Theorem for Measures on D-posets. International Journal of Theoretical Physics 43, 1613–1623 (2004). https://doi.org/10.1023/B:IJTP.0000048807.37145.cc

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