On various notions of regularity in ordered spaces

Peter Volauf

Mathematica Slovaca (1985)

  • Volume: 35, Issue: 2, page 127-130
  • ISSN: 0232-0525

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Volauf, Peter. "On various notions of regularity in ordered spaces." Mathematica Slovaca 35.2 (1985): 127-130. <http://eudml.org/doc/32402>.

@article{Volauf1985,
author = {Volauf, Peter},
journal = {Mathematica Slovaca},
keywords = { -complete lattice ordered groups; constructions of measures and; integrals with values in ordered spaces; Egoroff property; regularity; Daniell integral},
language = {eng},
number = {2},
pages = {127-130},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On various notions of regularity in ordered spaces},
url = {http://eudml.org/doc/32402},
volume = {35},
year = {1985},
}

TY - JOUR
AU - Volauf, Peter
TI - On various notions of regularity in ordered spaces
JO - Mathematica Slovaca
PY - 1985
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 35
IS - 2
SP - 127
EP - 130
LA - eng
KW - -complete lattice ordered groups; constructions of measures and; integrals with values in ordered spaces; Egoroff property; regularity; Daniell integral
UR - http://eudml.org/doc/32402
ER -

References

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  1. BERNAU S. J., Uniwue representation of Archimedean lattice groups and normal Archimedean lattice rings, Proc. London Math. Soc. 3, 15, 1965, 599-631. (1965) MR0182661
  2. FREMLIN D. H., A direct proof of the Matthes-Wright integгal extension theorem, J. London Math. Soc. 11, 1975, 276-284. (1975) MR0380345
  3. LUXEMBURG W. A., ZAANEN A. C, Riesz Spaces I, North-Holland, Amsterdam 1971. (1971) 
  4. RIEČAN B., On the lattice group valued measures, Čas. pěst. mat. 101, 1976, 343-349. (1976) MR0499072
  5. RIEČAN B., On measures and integrals with values in oгdered groups, Math. Slovaca 33, 1983, 2, 153-163. (1983) MR0699085
  6. RIEČAN B., On the extension of operators with values in linear semiordered spaces (Russian), Čas. pěst. mat. 93, 1968, 450-471. (1968) MR0248544
  7. RIEČAN B., VOLAUF P., On a technical lemma in lattice ordered groups, Acta Math. Univ. Comen., to appear. MR0775002
  8. VOLAUF P., On extension of maps with values in ordered spaces, Math. Slovaca 30, 1980, 4, 351-361. (1980) Zbl0448.28007MR0595295
  9. WRIGHT J. D. M., The measure extension problem for vector lattices, Ann. Inst. Fourier, Grenoble 21, 4, 1971, 65-85. (1971) Zbl0215.48101MR0330411

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