On measures and integrals with values in ordered groups

Beloslav Riečan

Mathematica Slovaca (1983)

  • Volume: 33, Issue: 2, page 153-163
  • ISSN: 0232-0525

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Riečan, Beloslav. "On measures and integrals with values in ordered groups." Mathematica Slovaca 33.2 (1983): 153-163. <http://eudml.org/doc/34156>.

@article{Riečan1983,
author = {Riečan, Beloslav},
journal = {Mathematica Slovaca},
keywords = {extension theorem; partially ordered Abelian group; G-valued Daniell integral theory; weakly G-distributive l-group},
language = {eng},
number = {2},
pages = {153-163},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On measures and integrals with values in ordered groups},
url = {http://eudml.org/doc/34156},
volume = {33},
year = {1983},
}

TY - JOUR
AU - Riečan, Beloslav
TI - On measures and integrals with values in ordered groups
JO - Mathematica Slovaca
PY - 1983
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 33
IS - 2
SP - 153
EP - 163
LA - eng
KW - extension theorem; partially ordered Abelian group; G-valued Daniell integral theory; weakly G-distributive l-group
UR - http://eudml.org/doc/34156
ER -

References

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  1. ALFSEN E. M., Ordeг preserving maps and integгation processes, Math. Ann. 149, 1963, 419-461. (1963) 
  2. CRISTESCU R., Spatii liniare si operatoгi liniari, Bucuresti 1971. (1971) 
  3. FREMLIN D. H., A direct proof of the Mathes-Wright integгal extension theoгem, Ј. London. Math. Soc. 11, 1975, 276-284. (1975) MR0380345
  4. KANTOROVIČ L. V., Suг la continuité et sur le prolongement des opérations linéaires, C. R. Acad. Sci. de ľU. R. S. S. 206, 1938, 833-835. (1938) 
  5. RIEČAN B., O нeпpepывнoм пpoдoлжeнии мoнoтoнныx фyнкциoнaлoв нeкoтopoгo типa, Mat.-fyz. čas. 15, 1965, 116-125. (1965) 
  6. RIEČAN B., O пpoдoлжeнии oпepaтopoв c знaчeниями в линeйныx пoлyпopядoчeнныx пpocтpaнcтвax, Čas. pěst. mat. 93, 1968, 459-471. (1968) 
  7. RIEČAN B., On the lattice group valued measures, Čas. pěst. mat. 101, 1976, 343-349. (1976) MR0499072
  8. RIEČAN B., A simplified proof of the Daniell integral extension theorem in ordeгed spaces, Math. Slovaca 32, 1982, 75-79. (1982) MR0648223
  9. VOLAUF P., Extension and regulaгity of l-group valued measures, Math. Slovaca 27, 1977, 47-53. (1977) MR0476989
  10. VOLAUF P., On extension of maps with values in ordered spaces, Math. Slovaca 30, 1980, 351-361. (1980) Zbl0448.28007MR0595295
  11. VONКOMEROVÁ M., On the extension of positive continuous operatoгs, Math Slovaca 31, 1981, 251-262. (1981) 
  12. WRIGHT Ј. D. M., The measure extension pгoblem foг vector lattices, Ann. Inst. Fouгieг Grenoble 21, 1971, 65-85. (1971) MR0330411
  13. RIEČAN B., VOLAUF P., On a technical lemma in lattice ordeгed groups, Acta Math. Univ. Comen., to appeaг. 

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