On the Kurzweil integral for functions with values in ordered spaces. II.

Beloslav Riečan; Marta Vrábelová

Mathematica Slovaca (1993)

  • Volume: 43, Issue: 4, page 471-475
  • ISSN: 0232-0525

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Riečan, Beloslav, and Vrábelová, Marta. "On the Kurzweil integral for functions with values in ordered spaces. II.." Mathematica Slovaca 43.4 (1993): 471-475. <http://eudml.org/doc/32226>.

@article{Riečan1993,
author = {Riečan, Beloslav, Vrábelová, Marta},
journal = {Mathematica Slovaca},
keywords = {Kurzweil integral; linear lattice; uniformly convergent sequences},
language = {eng},
number = {4},
pages = {471-475},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the Kurzweil integral for functions with values in ordered spaces. II.},
url = {http://eudml.org/doc/32226},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Riečan, Beloslav
AU - Vrábelová, Marta
TI - On the Kurzweil integral for functions with values in ordered spaces. II.
JO - Mathematica Slovaca
PY - 1993
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 43
IS - 4
SP - 471
EP - 475
LA - eng
KW - Kurzweil integral; linear lattice; uniformly convergent sequences
UR - http://eudml.org/doc/32226
ER -

References

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  1. FREMLIN D. H., A direct proof of the Matthes-Wright integral extension theorem, J. London Math. Soc. 11 (1975), 276-284. (1975) Zbl0313.06016MR0380345
  2. KURZWEIL J., Nicht absolut Konvergente Integrate, Teubner, Leipzig, 1980. (1980) MR0597703
  3. LUXEMBURG W. A., ZAANEN A. C., Riesz Spaces, North-Holland, Amsterdam, 1971. (1971) Zbl0231.46014
  4. MALIČKÝ P., The monotone limit convergence theorem for elementary functions with values in a vector lattice, Comment. Math. Univ. Carolin. 27 (1986), 53-67. (1986) Zbl0608.28004MR0843420
  5. RIEČAN B., On the Kurzweil integral for functions with values in ordered spaces I, Acta Math. Univ. Comenian. 56-57 (1990), 75-83. (1990) Zbl0735.28008MR1083014
  6. RIEČAN B., On the Kurzweil integral in Compact Topological Spaces, Rad. Mat. 2 (1986), 151-163. (1986) Zbl0623.28003MR0873695
  7. RIEČAN B., VOLAUF P., On a technical lemma in lattice ordered groups, Acta Math. Univ. Comenian. 44-45 (1984), 31-35. (1984) Zbl0558.06019MR0775002
  8. WRIGHT J. D. M., The measure extension problem for vector lattices, Ann. Inst. Fourier (Grenoble) 21 (1971), 65-85. (1971) Zbl0215.48101MR0330411

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