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

ArticleOriginal scientific text

Title

Authors ¹

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

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