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A Dominated Ergodic Theorem for Contractions with Fixed Points

Published online by Cambridge University Press:  20 November 2018

A. De La Torre
A. De La Torre*
Affiliation:
Department of Mathematics McGill University Montreal, Quebec Canada
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Let be a finite measure space, and let T be a contraction in real Lp (X). (i.e. T is linear and ||T||≤1). It is said that the Dominated Ergodic Theorem holds for T, if there exists a constant cp such that, if M(T)f(x) = supn 1/n then ||M(T)f||p ≤ cp ||f||p for every f in Lp .

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 1 , 01 March 1977, pp. 89 - 91
Copyright
Copyright © Canadian Mathematical Society 1977

References

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