The Bochner and the monotone integrals with respect to a nuclear-valued finitely additive measure

Maria Cristina Isidori; Anna Martellotti; Anna Rita Sambucini

Mathematica Slovaca (1998)

  • Volume: 48, Issue: 4, page 377-390
  • ISSN: 0139-9918

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Isidori, Maria Cristina, Martellotti, Anna, and Sambucini, Anna Rita. "The Bochner and the monotone integrals with respect to a nuclear-valued finitely additive measure." Mathematica Slovaca 48.4 (1998): 377-390. <http://eudml.org/doc/34480>.

@article{Isidori1998,
author = {Isidori, Maria Cristina, Martellotti, Anna, Sambucini, Anna Rita},
journal = {Mathematica Slovaca},
keywords = {nuclear space; projective limit; monotone integral; Bochner integral},
language = {eng},
number = {4},
pages = {377-390},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {The Bochner and the monotone integrals with respect to a nuclear-valued finitely additive measure},
url = {http://eudml.org/doc/34480},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Isidori, Maria Cristina
AU - Martellotti, Anna
AU - Sambucini, Anna Rita
TI - The Bochner and the monotone integrals with respect to a nuclear-valued finitely additive measure
JO - Mathematica Slovaca
PY - 1998
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 48
IS - 4
SP - 377
EP - 390
LA - eng
KW - nuclear space; projective limit; monotone integral; Bochner integral
UR - http://eudml.org/doc/34480
ER -

References

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  1. BLONDIA C., Integration in locally convex spaces, Simon Stevin 55 (1981), 81-102. (1981) Zbl0473.46031MR0635095
  2. BROOKS J. K.-MARTELLOTTI A., On the De Giorgi-Letta integral in infinite dimension, Atti Sem. Mat. Fis. Univ. Modena XL (1992), 285-302. (1992) MR1179037
  3. ISIDORI M. C.-MARTELLOTTI A., SAMBUCINI A. R., Integration with respect to orthogonally scattered measures, Math. Slovaca. 48 (1998), 253-269. (1998) Zbl0941.28011MR1647694
  4. PIETSCH A., Nuclear Locally Convex Spaces, Springer-Verlag, Berlin-Heidelberg-New York, 1972. (1972) Zbl0308.47024MR0350360
  5. SCHAEFER H. H., Topological Vector Spaces, Springer-Verlag, New York-Heidelberg-Berlin, 1971. (1971) Zbl0217.16002MR0342978

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