The monotone limit convergence theorem for elementary functions with values in a vector lattice

Peter Maličký

Commentationes Mathematicae Universitatis Carolinae (1986)

  • Volume: 027, Issue: 1, page 53-67
  • ISSN: 0010-2628

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Maličký, Peter. "The monotone limit convergence theorem for elementary functions with values in a vector lattice." Commentationes Mathematicae Universitatis Carolinae 027.1 (1986): 53-67. <http://eudml.org/doc/17438>.

@article{Maličký1986,
author = {Maličký, Peter},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {integration theory of functions with values in a vector lattice; monotone limit convergence theorem; Daniell integration},
language = {eng},
number = {1},
pages = {53-67},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The monotone limit convergence theorem for elementary functions with values in a vector lattice},
url = {http://eudml.org/doc/17438},
volume = {027},
year = {1986},
}

TY - JOUR
AU - Maličký, Peter
TI - The monotone limit convergence theorem for elementary functions with values in a vector lattice
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1986
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 027
IS - 1
SP - 53
EP - 67
LA - eng
KW - integration theory of functions with values in a vector lattice; monotone limit convergence theorem; Daniell integration
UR - http://eudml.org/doc/17438
ER -

References

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  1. JAMESON G., Ordered Linear Spaces, Berlin 1970. (1970) Zbl0196.13401MR0438077
  2. PFANZAGL J., PIERLO W., Compact systems of sets, Berlin 1966. (1966) Zbl0161.36604MR0216529
  3. RIEČAN B., O prodolženii operatorov so značeniami v linejnych poluuporiadočennych prostranstvach, Čas. Pěst. Mat. 93 (1968), 459-471. (1968) MR0248544
  4. SCHAEFER H. H., Topologičeskije vektornyje prostranstva, Moskva 1971. (1971) 
  5. ŠIPOŠ J., Integration in partially ordered linear spaces, Math. Slovaca 31 (1981), 39-51. (1981) MR0619506
  6. WRIGHT J. D. M., The measure extension problem for vector lattices, Ann. Inst. Fourier 21, Fasc. 4 (1971), 65-85. (1971) Zbl0215.48101MR0330411
  7. BOURBAKI N., Integrirovanije, Moskva 1977. (1977) 

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