A skeleton of Fubini-type theorem in vector spaces for the Kurzweil integral and operator measures

Antonio Boccuto; Ján Haluška

Mathematica Slovaca (2004)

  • Volume: 54, Issue: 4, page 423-432
  • ISSN: 0232-0525

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Boccuto, Antonio, and Haluška, Ján. "A skeleton of Fubini-type theorem in vector spaces for the Kurzweil integral and operator measures." Mathematica Slovaca 54.4 (2004): 423-432. <http://eudml.org/doc/34604>.

@article{Boccuto2004,
author = {Boccuto, Antonio, Haluška, Ján},
journal = {Mathematica Slovaca},
keywords = {Fubini theorem; Kurzweil integral; compact topological spaces; operator measure; vector space; bornology},
language = {eng},
number = {4},
pages = {423-432},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {A skeleton of Fubini-type theorem in vector spaces for the Kurzweil integral and operator measures},
url = {http://eudml.org/doc/34604},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Boccuto, Antonio
AU - Haluška, Ján
TI - A skeleton of Fubini-type theorem in vector spaces for the Kurzweil integral and operator measures
JO - Mathematica Slovaca
PY - 2004
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 54
IS - 4
SP - 423
EP - 432
LA - eng
KW - Fubini theorem; Kurzweil integral; compact topological spaces; operator measure; vector space; bornology
UR - http://eudml.org/doc/34604
ER -

References

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  1. BOCCUTO A., Abstract integration in Riesz spaces, Tatra Mt. Math. Publ. 5 (1995), 107-124. (1995) Zbl0857.28007MR1384801
  2. HALUŠKA J., On integration in complete vector lattices, Tatra Mt. Math. Publ. 3 (1993), 201-212. (1993) Zbl0813.46035MR1278535
  3. HALUŠKA J., On lattices of set functions in complete bornological locally convex spaces, Simon Stevin 67 (1993), 27-48. (1993) Zbl0815.46004MR1249046
  4. HALUŠKA J., On integration in complete bornological locally convex spaces, Czechoslovak Math. J. 47 (1997), 205-219. (1997) Zbl0926.46037MR1452416
  5. LEE PENG Y.-VÝBORNÝ R., The Integral: An Easy Approach after Kurzweil and Henstock, Cambridge University Press, Cambridge, 2000. Zbl0941.26003MR1756319
  6. KURZWEIL J., Nicht absolut konvergente Integrale, Teubner-Texte Math., Teubner, Leipzig, 1980. (1980) MR0597703
  7. RIEČAN B., On the Kurzweil integral in compact topological spaces, Rad. Mat. 2 (1986), 151-163. (1986) Zbl0623.28003MR0873695
  8. RIEČAN B.-NEUBRUNN T., Integral, Measure and Ordering, Kluwer Acad. Publ./ Ister Science, Dordrecht/Bratislava, 1997. (1997) Zbl0916.28001MR1489521
  9. RAO CHIVUKULA R.-SASTRY A. S., Product vector measures via Bartle Integrals, J. Math. Anal. Appl. 96 (1983), 180-195. (1983) Zbl0551.28009MR0717502

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