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On matrix summation and the pointwise ergodic theorem

Conference paper
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Part of the Lecture Notes in Mathematics book series (LNM, volume 532)

Abstract

For any contraction T in a space L1 there exists a matrix summation method A stronger than the Cesàro method such that for all f∈L1 the A-limit of Tkf exists a.e.. Here we answer the question of existence of a universal A, which works for all T, negatively.

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Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  1. 1.Institut für Mathematische Statistik34 GöttingenFederal Republic of Germany

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