On Dieudonné's Boundedness Theorem

Giuseppina Barbieri

Bollettino dell'Unione Matematica Italiana (2009)

  • Volume: 2, Issue: 2, page 343-348
  • ISSN: 0392-4041

Abstract

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We generalize the classical Dieudonné boundedness theorem for modular measures on lattice ordered effect algebras.

How to cite

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Barbieri, Giuseppina. "On Dieudonné's Boundedness Theorem." Bollettino dell'Unione Matematica Italiana 2.2 (2009): 343-348. <http://eudml.org/doc/290593>.

@article{Barbieri2009,
abstract = {We generalize the classical Dieudonné boundedness theorem for modular measures on lattice ordered effect algebras.},
author = {Barbieri, Giuseppina},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {343-348},
publisher = {Unione Matematica Italiana},
title = {On Dieudonné's Boundedness Theorem},
url = {http://eudml.org/doc/290593},
volume = {2},
year = {2009},
}

TY - JOUR
AU - Barbieri, Giuseppina
TI - On Dieudonné's Boundedness Theorem
JO - Bollettino dell'Unione Matematica Italiana
DA - 2009/6//
PB - Unione Matematica Italiana
VL - 2
IS - 2
SP - 343
EP - 348
AB - We generalize the classical Dieudonné boundedness theorem for modular measures on lattice ordered effect algebras.
LA - eng
UR - http://eudml.org/doc/290593
ER -

References

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  1. AVALLONE, A., Cafiero and Nikodym boundedness theorems in effect algebras, Ital. J. Pure Appl. Math., 20 (2006), 203-214. Zbl1121.28015MR2247423
  2. AVALLONE, A. - VITOLO, P., Effect algebras with the Subsequential Interpolation Property, Soft Computing, 12, 6 (2008), 559-565. Zbl1153.81005
  3. DIEUDONNÉ, J., Sur la convergence des suites de mesures de Radon. (French) Anais Acad. Brasil. Ci.23 (1951), 21-38, 277-282. MR42496
  4. DVURECENSKIJ, A. - PULMANNOVÀ, S., New trends in quantum structures, (Kluwer Academic Publishers, Bratislava, 2000). Zbl0987.81005MR1861369DOI10.1007/978-94-017-2422-7
  5. GUARIGLIA, E., On Dieudonné's boundedness theorem, J. Math. Anal. Appl., 145, 2 (1990) 447-454. Zbl0697.28004MR1038169DOI10.1016/0022-247X(90)90412-9
  6. WEBER, H., 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. Zbl0604.28006MR843053DOI10.1216/RMJ-1986-16-2-253

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