On the extension of positive operators

Marta Vonkomerová

Mathematica Slovaca (1981)

  • Volume: 31, Issue: 3, page 251-262
  • ISSN: 0232-0525

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Vonkomerová, Marta. "On the extension of positive operators." Mathematica Slovaca 31.3 (1981): 251-262. <http://eudml.org/doc/32204>.

@article{Vonkomerová1981,
author = {Vonkomerová, Marta},
journal = {Mathematica Slovaca},
keywords = {positive lattice group valued operators; G valued measure extension theorem; Daniell G valued integral extension theorem},
language = {eng},
number = {3},
pages = {251-262},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the extension of positive operators},
url = {http://eudml.org/doc/32204},
volume = {31},
year = {1981},
}

TY - JOUR
AU - Vonkomerová, Marta
TI - On the extension of positive operators
JO - Mathematica Slovaca
PY - 1981
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 31
IS - 3
SP - 251
EP - 262
LA - eng
KW - positive lattice group valued operators; G valued measure extension theorem; Daniell G valued integral extension theorem
UR - http://eudml.org/doc/32204
ER -

References

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  1. BIRKHOFF G., Lattice theoгy, Зrd ed. Providence 1967. (1967) 
  2. FREMLIN D. H., A direct proof of the Mathes-Wright integral extension theorem, J. London Math. soc., 11, 1975, 276-284. (1975) MR0380345
  3. FUTÁŠ E., Extension of continuous functionals, Mat. Čas. 21, 1971, 191-198. (1971) MR0303250
  4. POTOCKÝ R., On random variables having values in a vector lattice, Math. Slov., 27, 1977, 267-276. (1977) Zbl0372.28012MR0536144
  5. RIEČAN B., On the lattice group valued measures, Čas. pro pěst. mat., 101, 1976, 343-349. (1976) MR0499072
  6. PИEЧAH Б., O пpoдoлжeнии oпepaтopoв c знaчeниaми в линeйниx пoлyупopядoчeнныx пpocтpaнcтвax, Čas. pro pěst. mat., 93, 1968, 459-471. (1968) MR0248544
  7. VOLAUF P., Extension and regulaгity of l-group valued measures, Math. Slovaca, 27, 1977, 47-53. (1977) MR0476989
  8. VOLAUF P., Some questions of the theoгy of probability in ordered spaces, Kand. diz. práca, Bratislava 1977. (1977) 
  9. VOLAUF P., On extension of maps with values in ordeгed space, Math. Slov. (to appear). 
  10. BУЛИX Б. 3., Bвeдeниe в тeopию пoлyyпopядoчeнныx пpocтpaнcтв, Mocквa 1961. (1961) 
  11. WRIGHT J. D. M., The measure extension pгoblem foг vector lattices, Annales de l'Institut Fourier (Grenoble), 21, 1971, 65-85. (1971) MR0330411

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