Weakly constricted operators and Jamison’s convergence theorem
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- by Robert Sine PDF
- Proc. Amer. Math. Soc. 106 (1989), 751-755 Request permission
Abstract:
If $T$ is a linear contraction on a complex $C(X)$ space which is irreducible and if $\{ {T^n}f\}$ converges weakly to zero then the convergence is actually in norm. If $T$ is weakly constricted and irreducible then $T$ is actually strongly constricted. If $T$ is weakly almost periodic and irreducible and either $T$ or ${T^*}$ has a unimodular point spectral value then $T$ is strongly almost periodic.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 106 (1989), 751-755
- MSC: Primary 47B38; Secondary 47A35, 47D05
- DOI: https://doi.org/10.1090/S0002-9939-1989-0965945-8
- MathSciNet review: 965945