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Abelian ergodic theorems for vector-valued functions

Published online by Cambridge University Press:  18 May 2009

P. E. Kopp
P. E. Kopp
Affiliation:
Department of Pure Mathematics, University of Hull
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This note contains extensions of the Abelian ergodic theorems in [3] and [6] to functions which take their values in a Banach space. The results are based on an adaptation of Rota's maximal ergodic theorem for Abel limits [8]. Convergence theorems for continuous parameter semigroups are deduced by the approximation technique developed in [3], [6]. A direct application of the resolvent equation also enables us to deduce a convergence theorem for pseudo-resolvents.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 16 , Issue 1 , March 1975 , pp. 57 - 60
Copyright
Copyright © Glasgow Mathematical Journal Trust 1975

References

REFERENCES

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