A Pointwise Ergodic Theorem in Lp-Spaces
- 1 October 1975
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 27 (5) , 1075-1082
- https://doi.org/10.4153/cjm-1975-112-7
Abstract
Let be a measure space and the usual Banach spaces. A linear operator T : Lp → Lpis called a positive contraction if it transforms non-negative functions into non-negative functions and if its norm is not more than one. The purpose of this note is to show that if 1 < p < ∞ and if T : Lp → Lp is a positive contraction thenKeywords
This publication has 1 reference indexed in Scilit:
- ON THE MAXIMAL ERGODIC THEOREMProceedings of the National Academy of Sciences, 1961