On Dieudonné's Boundedness Theorem
Bollettino della Unione matematica italiana, Série 9, Tome 2 (2009) no. 2, pp. 343-348.

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We generalize the classical Dieudonné boundedness theorem for modular measures on lattice ordered effect algebras.
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Barbieri, Giuseppina. On Dieudonné's Boundedness Theorem. Bollettino della Unione matematica italiana, Série 9, Tome 2 (2009) no. 2, pp. 343-348. http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_2_a2/

[1] A. Avallone, Cafiero and Nikodym boundedness theorems in effect algebras, Ital. J. Pure Appl. Math., 20 (2006), 203-214. | MR | Zbl

[2] A. Avallone - P. Vitolo, Effect algebras with the Subsequential Interpolation Property, Soft Computing, 12, 6 (2008), 559-565. | Zbl

[3] J. Dieudonné, Sur la convergence des suites de mesures de Radon. (French) Anais Acad. Brasil. Ci. 23 (1951), 21-38, 277-282. | MR

[4] A. Dvurecenskij - S. Pulmannovà, New trends in quantum structures, (Kluwer Academic Publishers, Bratislava, 2000). | DOI | MR | Zbl

[5] E. Guariglia, On Dieudonné's boundedness theorem, J. Math. Anal. Appl., 145, 2 (1990) 447-454. | DOI | MR | Zbl

[6] H. Weber, Compactness in spaces of group-valued contents, the Vitali-Hahn-Saks theorem and Nikodỳm's boundedness theorem, Rocky Mountain J. Math., 16, 2 (1986), 253-275. | DOI | MR | Zbl