Accession Number:

AD0613244

Title:

ON THE MAXIMAL ERGODIC THEOREM FOR ABEL-LIMITS,

Descriptive Note:

Corporate Author:

MASSACHUSETTS INST OF TECH CAMBRIDGE

Personal Author(s):

Report Date:

1962-07-30

Pagination or Media Count:

3.0

Abstract:

The powerful and ingenious method of Chacon and Ornstein Illinois J. Math. 4153-160 1960, later simplified by E. Hopf J. Math. Mech. 11165-172 1962, has led to a proof of the ergodic theorem for general operators which is in many ways definitive. It is shown that if Abel convergence is used instead of Cesaro convergence, then a proof of the corresponding limit theorem is obtained which is of extreme simplicity. Extracted

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE