Sull'additività dell'integrale

Rodney C. Bassanezi; Gabriele H. Greco

Rendiconti del Seminario Matematico della Università di Padova (1984)

  • Volume: 72, page 249-275
  • ISSN: 0041-8994

How to cite

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Bassanezi, Rodney C., and Greco, Gabriele H.. "Sull'additività dell'integrale." Rendiconti del Seminario Matematico della Università di Padova 72 (1984): 249-275. <http://eudml.org/doc/107955>.

@article{Bassanezi1984,
author = {Bassanezi, Rodney C., Greco, Gabriele H.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {monotone set function; additivity or -additivity of the integral; Carathéodory measurability of a function; modularity properties of the integral},
language = {ita},
pages = {249-275},
publisher = {Seminario Matematico of the University of Padua},
title = {Sull'additività dell'integrale},
url = {http://eudml.org/doc/107955},
volume = {72},
year = {1984},
}

TY - JOUR
AU - Bassanezi, Rodney C.
AU - Greco, Gabriele H.
TI - Sull'additività dell'integrale
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1984
PB - Seminario Matematico of the University of Padua
VL - 72
SP - 249
EP - 275
LA - ita
KW - monotone set function; additivity or -additivity of the integral; Carathéodory measurability of a function; modularity properties of the integral
UR - http://eudml.org/doc/107955
ER -

References

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  1. [1] B. Anger, Representation of capacities, Math. Ann., 229 (1977), pp. 245-258. Zbl0339.31010MR466588
  2. [2] S. Bochner, Additive set functions on groups, Ann. Math., 40 (1941), pp. 316-324. Zbl0024.04203
  3. [3] R. Cairoli, Fonctionsd'ensemble et intégration, Comm. Mat. Helv., 39 (1964-65), pp. 1-20. Zbl0131.29601MR170994
  4. [4] J.P. Cecconi, Sulla teoria del prolungamento degli integrali, Rend. Sem. Mat. Padova, 42 (1969), pp. 167-188. Zbl0247.28007MR254203
  5. [5] G. Choquet, Teory of capacities, Ann. Inst. Fourier, 5 (1953), pp. 131-295. Zbl0064.35101MR80760
  6. [6] C. Dellacherie, Quelques commentaires sur les prolongements de capacités, Seminaire de probabilités V, ed. M. KAROUBI - P. A. MEYER, Lect. Notes in Math., 191 (1971), pp. 77-81. MR382686
  7. [7] G.H. Greco, Sur la mesurabilité d'une fonction numérique par rapport à une famille d'ensembles, Rend. Sem. Mat. Padova, 65 (1981), pp. 163-176. Zbl0507.28005MR653292
  8. [8] G.H. Greco: Sulla rappresentazione di funzionali mediante integrali, Rend. Sem. Mat. Padova, 66 (1982), pp. 21-42. Zbl0524.28016
  9. [9] G.H. Greco, Integrale monotono, Rend. Sem. Mat. Padova, 57 (1977), pp. 149-166. Zbl0412.28005MR526188
  10. [10] L.H. Loomis, Linear functionals and content, Am. J. Math., 76 (1954), pp. 168-182. Zbl0055.10101MR60145
  11. [11] A. Markoff, On mean values and exterior densities, Mat. Sbornik, 46 (1938), pp. 165-191. Zbl64.1015.02JFM64.1015.02
  12. [12] D. Pollard - F. TOPSØE, A unified approach to Riesz type representation theorems, Studia Math., 54 (1975), pp. 173-190. Zbl0321.28006MR393409
  13. [13] F. Topsøe, Further results on integral representations, Studia Math., 55 (1976), pp. 239-245. Zbl0336.28002MR425061
  14. [14] F. Topsøe, Topology and Measure, Lect. Notes in Math., 133 (1970). Zbl0197.33301

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