On the conditional expectation in a regular ordered space

Marta Vrábelová

Mathematica Slovaca (1988)

  • Volume: 38, Issue: 2, page 159-166
  • ISSN: 0232-0525

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Vrábelová, Marta. "On the conditional expectation in a regular ordered space." Mathematica Slovaca 38.2 (1988): 159-166. <http://eudml.org/doc/34274>.

@article{Vrábelová1988,
author = {Vrábelová, Marta},
journal = {Mathematica Slovaca},
keywords = {conditional expectation; -complete vector lattice with the diagonal property},
language = {eng},
number = {2},
pages = {159-166},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the conditional expectation in a regular ordered space},
url = {http://eudml.org/doc/34274},
volume = {38},
year = {1988},
}

TY - JOUR
AU - Vrábelová, Marta
TI - On the conditional expectation in a regular ordered space
JO - Mathematica Slovaca
PY - 1988
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 38
IS - 2
SP - 159
EP - 166
LA - eng
KW - conditional expectation; -complete vector lattice with the diagonal property
UR - http://eudml.org/doc/34274
ER -

References

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  1. CHATTERJI S. D., Martingale convergence and the Radon-Nikodym theorem in Banach spaces, Math. Scand. 22 (1968), 21-111. (1968) MR0246341
  2. CRISTESCU R., Spatii liniare si operatori liniari, Bucuresti 1971. (1971) 
  3. LUXEMBURG W. A. J., ZANNEN A. C., Riesz Spaces I, North-Holland, 1971. (1971) 
  4. POTOCKÝ R., On random variables having values in a vector lattice, Math. Slov. 27, 1977, No. 3, 267-276. (1977) Zbl0372.28012MR0536144
  5. SZULGA J., Boundedness and convergence of Banach lattice valued submartingales, Preprint. Zbl0385.60012MR0521035
  6. SZULGA J., Three series theorem for martingales in Banach spaces, Bulletin de l'Académie Polonaise des Sciences, Série des sciences math., astr. et phys., vol. XXV, No. 2, 1977. (1977) Zbl0392.60044MR0445601
  7. SZULGA J., WOYCZYNSKI W. A., Convergence of submartingales in Banach lattices, The Annals of Probability 1976, Vol.4, No. 3, 464-469. (1976) Zbl0402.60008MR0405577
  8. ŠlPOŠ J., Integration in partially ordered linear spaces, Math. Slov. 31, 1981, No. 1, 39-51. (1981) MR0619506

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