Integration with respect to orthogonally scattered measures

Maria Cristina Isidori; Anna Martellotti; Anna Rita Sambucini

Mathematica Slovaca (1998)

  • Volume: 48, Issue: 3, page 253-269
  • ISSN: 0232-0525

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Isidori, Maria Cristina, Martellotti, Anna, and Sambucini, Anna Rita. "Integration with respect to orthogonally scattered measures." Mathematica Slovaca 48.3 (1998): 253-269. <http://eudml.org/doc/31904>.

@article{Isidori1998,
author = {Isidori, Maria Cristina, Martellotti, Anna, Sambucini, Anna Rita},
journal = {Mathematica Slovaca},
keywords = {orthogonally scattered measure; orthogonally scattered dilation; monotone integral; Stone transform; Bochner integral; Hilbert-space-valued additive measures},
language = {eng},
number = {3},
pages = {253-269},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Integration with respect to orthogonally scattered measures},
url = {http://eudml.org/doc/31904},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Isidori, Maria Cristina
AU - Martellotti, Anna
AU - Sambucini, Anna Rita
TI - Integration with respect to orthogonally scattered measures
JO - Mathematica Slovaca
PY - 1998
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 48
IS - 3
SP - 253
EP - 269
LA - eng
KW - orthogonally scattered measure; orthogonally scattered dilation; monotone integral; Stone transform; Bochner integral; Hilbert-space-valued additive measures
UR - http://eudml.org/doc/31904
ER -

References

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  2. CHATTERJI S. D., Orthogonally scattered dilation of Hilbert space valued set functions, In: Lecture Notes in Math. 945, 1981, pp. 269-281. (1981) MR0675292
  3. CHOQUET G., Theory of capacities, Ann. Inst. Fourier 5 (1953), 131-295. (1953) MR0080760
  4. DE GIORGI E.-LETTA G., Une notion générale de convergence faible pour des functions croissantes d'ensembles, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (IV) 4 (1977), 61-99. (1977) MR0466479
  5. DIESTEL J.-UHL J. J., Vector Measures, Math. Surveys Monographs 15, Amer. Math. Soc, Providence, RI, 1977. (1977) Zbl0369.46039MR0453964
  6. GRECO G. H., Integrale monotono, Rend. Sem. Mat. Univ. Padova 57 (1977), 149-169. (1977) Zbl0412.28005MR0526188
  7. DUNFORD N.-SCHWARTZ J. T., Linear Operators, Part 1, Interscience Publishers, New York-London, 1958. (1958) Zbl0084.10402MR0117523
  8. MARTELLOTTI A., On integration with respect to L.C.T.V.S. valued finitely additive measures, Rend. Circ. Mat. Palermo (2) XLIII (1994), 181-214. (1994) MR1343943
  9. MASANI P. R., Orthogonally scattered measures, Adv. in Math. 2 (1968), 61-117. (1968) Zbl0187.38705MR0228651
  10. PAGLIARI S., Misure di probabilitd finitamente additive in teoria dell'integrazione, Tesi di laurea, Universita degli Studi di Perugia, 1979. (1979) 
  11. SIKORSKI R., Boolean Algebras, Springer Verlag, Berlin, 1964. (1964) Zbl0123.01303MR0126393
  12. VITALI G., Sulla definizione di integrale delle funzioni di una variabile reale, Ann. Mat. Pura Appl. (IV) 2 (1925), 111-121. (1925) MR1553076

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