On extension of maps with values in ordered spaces

Peter Volauf

Mathematica Slovaca (1980)

  • Volume: 30, Issue: 4, page 351-361
  • ISSN: 0232-0525

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Volauf, Peter. "On extension of maps with values in ordered spaces." Mathematica Slovaca 30.4 (1980): 351-361. <http://eudml.org/doc/31703>.

@article{Volauf1980,
author = {Volauf, Peter},
journal = {Mathematica Slovaca},
keywords = {extension of measures; Daniell integral; regular ordered group; sigma- distributivity; g-regularity; sigma-complete vector lattices},
language = {eng},
number = {4},
pages = {351-361},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On extension of maps with values in ordered spaces},
url = {http://eudml.org/doc/31703},
volume = {30},
year = {1980},
}

TY - JOUR
AU - Volauf, Peter
TI - On extension of maps with values in ordered spaces
JO - Mathematica Slovaca
PY - 1980
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 30
IS - 4
SP - 351
EP - 361
LA - eng
KW - extension of measures; Daniell integral; regular ordered group; sigma- distributivity; g-regularity; sigma-complete vector lattices
UR - http://eudml.org/doc/31703
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. JAMESON G., Ordered Linear Spaces, Berlin 1970. (1970) Zbl0196.13401MR0438077
  3. LUXEMBURG W. A., ZAANEN A. C., Riesz Spaces 1, Amsterdam 1971. (1971) 
  4. POTOCKÝ R., On random variables having values in a vector lattice, Math. Slovaca, 27, 1977, 267-276. (1977) Zbl0372.28012MR0536144
  5. RIEČAN B., О продолжении операторов со значениями в линейных полуупорядоченных пространствах, Čas. Pěst. Mat., 93, 1968, 459-471. (1968) Zbl0169.16501MR0248544
  6. ŠlPOŠ J., Integration in partially ordered linear spaces, Math. Slovaca to appear. MR0619506
  7. VOLAUF P., Extension and regularity of 1-group valued measures, Math. Slovaca, 27, 1977, No. 1., 47-53. (1977) MR0476989
  8. ВУЛИХ Б. З., Введение в теорию полуупорядоченных пространствах, Mocквa 1961. (1961) Zbl1225.94009
  9. WRIGHT J. D. M., Stone-algebra-valued measures and integrals, Proc. London Math. Soc., 19, 1969, 107-122. (1969) Zbl0186.46504MR0240276
  10. WRIGHT J.D D. M., The measure extension problem for vector lattices, Ann. Inst. Fourier, 21, Fasc. 4, Grenoble, 1971, 65-85. (1971) Zbl0215.48101MR0330411

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