A note on the almost everywhere convergence of alternating sequences with Dunford-Schwartz operators

Ryotaro Sato

Colloquium Mathematicae (1991)

  • Volume: 62, Issue: 1, page 97-101
  • ISSN: 0010-1354

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Sato, Ryotaro. "A note on the almost everywhere convergence of alternating sequences with Dunford-Schwartz operators." Colloquium Mathematicae 62.1 (1991): 97-101. <http://eudml.org/doc/210105>.

@article{Sato1991,
author = {Sato, Ryotaro},
journal = {Colloquium Mathematicae},
keywords = {Dunford-Schwartz operator},
language = {eng},
number = {1},
pages = {97-101},
title = {A note on the almost everywhere convergence of alternating sequences with Dunford-Schwartz operators},
url = {http://eudml.org/doc/210105},
volume = {62},
year = {1991},
}

TY - JOUR
AU - Sato, Ryotaro
TI - A note on the almost everywhere convergence of alternating sequences with Dunford-Schwartz operators
JO - Colloquium Mathematicae
PY - 1991
VL - 62
IS - 1
SP - 97
EP - 101
LA - eng
KW - Dunford-Schwartz operator
UR - http://eudml.org/doc/210105
ER -

References

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  1. [1] M. A. Akcoglu, Alternating sequences with nonpositive operators, Proc. Amer. Math. Soc. 104 (1988), 1124-1130. Zbl0691.47009
  2. [2] M. A. Akcoglu and L. Sucheston, Pointwise convergence of alternating sequences, Canad. J. Math. 40 (1988), 610-632. 
  3. [3] I. Assani, Alternating procedures in uniformly smooth Banach spaces, Proc. Amer. Math. Soc. 104 (1988), 1131-1133. Zbl0691.47010
  4. [4] D. L. Burkholder, Successive conditional expectations of an integrable function, Ann. Math. Statist. 33 (1962), 887-893. Zbl0128.12602
  5. [5] J. L. Doob, A ratio operator limit theorem, Z. Wahrsch. Verw. Gebiete 1 (1963), 288-294. Zbl0122.36302
  6. [6] N. A. Fava, Weak type inequalities for product operators, Studia Math. 42 (1972), 271-288. Zbl0237.47006
  7. [7] U. Krengel, Ergodic Theorems, de Gruyter, Berlin 1985. 
  8. [8] J. Neveu, Discrete-Parameter Martingales, North-Holland, Amsterdam 1975. 
  9. [9] R. Sato, Ergodic theorems for d-parameter semigroups of Dunford-Schwartz operators, Math. J. Okayama Univ. 23 (1981), 41-57. Zbl0477.47009
  10. [10] N. Starr, Operator limit theorems, Trans. Amer. Math. Soc. 121 (1966), 90-115. Zbl0147.15601

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