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A Pointwise Ergodic Theorem in Lp-Spaces

Published online by Cambridge University Press:  20 November 2018

M. A. Akcoglu
M. A. Akcoglu*
Affiliation:
University of Toronto, Toronto, Ontario
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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 then

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 5 , 01 October 1975 , pp. 1075 - 1082
Copyright
Copyright © Canadian Mathematical Society 1975

References

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