Operator theorems on L P -convergence to zero ( 1 p < + )

R. Zaharopol

Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications (1984)

  • Volume: 78, Issue: 2, page 15-23
  • ISSN: 0246-1501

How to cite

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Zaharopol, R.. "Operator theorems on $L^P$-convergence to zero $(1 \leqslant p &lt; + \infty )$." Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications 78.2 (1984): 15-23. <http://eudml.org/doc/80606>.

@article{Zaharopol1984,
author = {Zaharopol, R.},
journal = {Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications},
keywords = {zero-two law; positive contraction},
language = {eng},
number = {2},
pages = {15-23},
publisher = {UER de Sciences exactes et naturelles de l'Université de Clermont},
title = {Operator theorems on $L^P$-convergence to zero $(1 \leqslant p &lt; + \infty )$},
url = {http://eudml.org/doc/80606},
volume = {78},
year = {1984},
}

TY - JOUR
AU - Zaharopol, R.
TI - Operator theorems on $L^P$-convergence to zero $(1 \leqslant p &lt; + \infty )$
JO - Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
PY - 1984
PB - UER de Sciences exactes et naturelles de l'Université de Clermont
VL - 78
IS - 2
SP - 15
EP - 23
LA - eng
KW - zero-two law; positive contraction
UR - http://eudml.org/doc/80606
ER -

References

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  1. 1 Akcoglu, M.A.: "A pointwise ergodic theorem in Lp -spaces." Canadian J. of Math., Vol. XXVII, no. 5, 1975, 1075-1082. Zbl0326.47005MR396901
  2. 2 Dunford, N., Schwartz, J.T.: Linear operators Part I., New York: Interscience1958. Zbl0084.10402
  3. 3 Neveu, J.: "Mathematical foundations of the calculus of probability", San Francisco, London, Amsterdam: Holden-Day1965. Zbl0137.11301MR198505
  4. 4 Ornstein D., Sucheston, L.: "An operator theorem on L convergence to zero with applications to Markov kernels". Ann. Math. Statist.1970, vol. 41, no. 5, 1631-1639. Zbl0284.60068MR272057

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