Individual ergodic theorems for commuting operators
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This article is published in Tohoku Mathematical Journal.The article was published on 1983-01-01 and is currently open access. It has received 3 citations till now. The article focuses on the topics: Ergodic Ramsey theory & Invariant measure.read more
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On -parameter pointwise ergodic theorems in ₁
Shigeru Hasegawa,Ryotaro Sato +1 more
Journal ArticleDOI
Weighted $L_p$ spaces and pointwise ergodic theorems
TL;DR: In this article, an operator theoretic version of the result of Martin-Reyes and A. de la Torre concerning the problem of finding necessary and sufficient conditions for a nonsingular point transformation to satisfy the Pointwise Ergodic Theorem in a finite measure space was given.
Journal ArticleDOI
WEIGHTED Lp SPACES AND POINTWISE ERGODIC THEOREMS
TL;DR: In this paper, an operator theoretic version of the result of Mart¹n-Reyes and A. de la Torre concerning the problem of finding necessary and sufficient conditions for a nonsingular point transformation to satisfy the Pointwise Ergodic Theorem in a finite measure space was given.
References
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Théorème ergodique ponctuel pour un semi-groupe commutatif finiment engendré de contractions de $L^1$
TL;DR: Gauthier-Villars as mentioned in this paper implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/conditions).
Journal ArticleDOI
Uniform integrability and the pointwise ergodic theorem
TL;DR: In this paper, a positive linear operator T of L'(m) into L 1 (m, 6B, m) with III 1Ti < 1 was shown to be valid under the Hopf-Dunford-Schwartz theorem.