In memory of Paolo

References

[1] Bhaskara Rao, K. P. S.—Bhaskara Rao, M.: Charges on Boolean algebras and almost discrete spaces, Mathematika 20 (1973), 214–223.Suche in Google Scholar

[2] Cavaliere, P.—de Lucia, P.: Regularity and exhaustivity for finitely additive functions. The Dieudonné’s convergence theorem, Sci. Math. Jpn. 66 (2007), 313–323.Suche in Google Scholar

[3] Cavaliere, P.—de Lucia, P.: The Cafiero criterion on a Boolean ring, Rend. Accad. Sci. Fis. Mat. Napoli 75 (2008), 1–5.Suche in Google Scholar

[4] Cavaliere, P.—de Lucia, P.: On Brooks-Jewett, Vitali-Hahn-Saks and Nikodým convergence theorems for quasi-triangular functions, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 20 (2009), 387–396.Suche in Google Scholar

[5] Cavaliere, P.—de Lucia, P.: Some new results in non-additive measure theory, Commun. Appl. Anal. 13 (2009), 535–545.Suche in Google Scholar

[6] Cavaliere, P.—de Lucia, P.—De Simone, A.: On the absolute continuity of additive and non-additive functions, Funct. Approx. Comment. Math. 50 (2014), 181–190.Suche in Google Scholar

[7] Cavaliere, P.—de Lucia, P.—De Simone, A.: Boundedness of nonadditive quantum measures, Anna. Rep. Math. Phys. 74 (2014), 371–378.Suche in Google Scholar

[8] Cavaliere, P.—de Lucia, P.—De Simone, A.: Functions determining locally solid topological Riesz spaces continuously embedded in L⁰, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 26 (2015), 151–160.Suche in Google Scholar

[9] Cavaliere, P.—de Lucia, P.—De Simone, A.—Ventriglia, F.: On the Lebesgue decomposition for non-additive functions, Positivity 18 (2014), 489–503.Suche in Google Scholar

[10] Cavaliere, P.—de Lucia, P. —Ventriglia, F.: On Drewnowski lemma for non-additive functions and its consequences, Positivity 14 (2010), 1–16.Suche in Google Scholar

[11] Cavaliere, P.—de Lucia, P.—Weber, H.: Approximation of finitely additive functions with values in topological groups, Z. Anal. Anwend. 32 (2013), 477–495.Suche in Google Scholar

[12] Cavaliere, P.—Ventriglia, F.: On nonatomicity for non-additive functions, J. Math. Anal. Appl. 415 (2014), 358–372.Suche in Google Scholar

[13] de Lucia, P.: Vito Volterra e gli inizi della biomatematica, Department of Mathematics and Applications ‘Federico II’ preprint, no. 2 (2009), 1–11.Suche in Google Scholar

[14] Denneberg, D.: Non-additive Measure and Integral, Kluwer Academic Publishers Group, Dordrecht, 1994.Suche in Google Scholar

[15] Drewnowski, L.: Topological rings of sets, continuous set functions, integration I, II, III, Bull. Acad. Polon. Sci. Sr. Sci. Math. Astronom. Phys. 20 (1972), 269–276, 277–286, 439–445.Suche in Google Scholar

[16] Drewnowski, L.: On the continuity of certain non-additive set functions, Colloq. Math. 38 (1977/78), 243–253.Suche in Google Scholar

[17] Dubois, D.—Prade, H.: Fuzzy Sets and Systems. Theory and Applications, Academic Press, New York-London, 1980.Suche in Google Scholar

[18] Hewitt, E.—Ross, K. A.: Abstract Harmonic Analysis I. Graduate Studies in Mathematics, Vol. 29, American Mathematical Society, Berlin-Göttingen-Heidelberg: Springer-Verlag, 1963.Suche in Google Scholar

[19] Husain, T.: Introduction to Topological Groups, W. B. Saunders Co., Philadelphia, Pa.-London, 1966.Suche in Google Scholar

[20] Kampé de Fériet, J.—Forte, B.—Benvenuti, P.: Forme générale de l’opération de composition continue d’une information, C.R. Acad. Sci. Paris 269 (1969), 529–534.Suche in Google Scholar

[21] Klimkin, V. M.—Sribnaya, T. A.: Convergence of a sequence of weakly regular set functions, Math. Notes 62 (1997), 87–92.Suche in Google Scholar

[22] König, H.: The Lebesgue decomposition theorem for arbitrary contents, Positivity 10 (2006), 779–793.Suche in Google Scholar

[23] Klimkin, V. M.—Svistula, M. G. : On the pointwise limit of vector charges with the Saks property, Math. Notes 74 (2003), 385–392.Suche in Google Scholar

[24] Lipecki, Z.: A characterization of group-valued measures satisfying the countable chain condition, Colloq. Math. 31 (1974), 231–234.Suche in Google Scholar

[25] Mitrea, D.—Mitrea, I.—Mitrea, M.—Ziadé, Z.: Abstract capacitary estimates and the completeness and separability of certain classes of non-locally convex topological vector spaces, J. Funct. Anal. 262 (2012), 4766–4830.Suche in Google Scholar

[26] Niculescu, C. P.: An overview of absolute continuity and its applications. In: Inequalities and Applications. International Series of Numerical Mathematics (C. Bandle, L. Losonczi, A. Gilányi, Z. Páles, M. Plum, eds.), vol. 157, Birkhäuser Verlag, Basel, 2008, pp. 201–214.Suche in Google Scholar

[27] Pap, E.: Null-additive Set Functions, Kluwer Academic Publishers Group, Dordrecht, 1995.Suche in Google Scholar

[28] Pap, E.: Applications of decomposable measures on nonlinear differential equations, Novi Sad J. Math. 31 (2001), 89–98.Suche in Google Scholar

[29] Saeki, S.: The Vitali-Hahn-Saks theorem and measuroids, Proc. Amer. Math. Soc. 114 (1992), 775–782.Suche in Google Scholar

[30] Traynor, T.: Absolute countinuity for group-valued measures, Canad. Math. Bull. 16 (1973), 577–579.Suche in Google Scholar

[31] Ventriglia, F: Cafiero theorem for k-triangular functions on an orthomodular lattice, Rend. Acc. Sci. fis. Mat. Napoli 75 (2008), 45–52.Suche in Google Scholar

[32] Wang, Z.—Klir, G. J.: Generalized Measure Theory, Springer Science + Business Media, New York, 2009.Suche in Google Scholar

[33] Weber, H.: Compactness in spaces of group-valued contents, the Vitali-Hahn-Saks theorem and Nikodym’s boundedness theorem, Rocky Mountain J. Math. 16 (1986), 253–275.Suche in Google Scholar

[34] Weber, H.: FN-Topologies and group-valued measures. In: Handbook of measure theory, vol. I, II (E. Pap, ed.), North-Holland, Amsterdam, 2002, pp. 703–743.Suche in Google Scholar

[35] Weber, S.: ⊥-decomposable measures and integrals for Archimedean t-conorms ⊥, J. Math. Anal. Appl. 101 (1984), 114–138.Suche in Google Scholar

[36] Weber, S.: Conditional measures and their applications to fuzzy sets, Fuzzy Sets and Systems 42 (1991), 73–85.Suche in Google Scholar