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

• Autorzy: Ryotaro Sato
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1991
• Tom: 62
• Numer: 1
• Strony: 97-101

Daty

wydano

1991

otrzymano

1989-04-24

poprawiono

1989-09-07

Twórcy

autor

Ryotaro Sato

• Department of Mathematics, School of Science, Okayama University, Okayama, 700 Japan

Bibliografia

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