Compact and weakly compact composition operators on spaces of vector valued continuous functions
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- by R. K. Singh and W. H. Summers PDF
- Proc. Amer. Math. Soc. 99 (1987), 667-670 Request permission
Abstract:
We characterize the compact and weakly compact weighted composition operators on the Banach space ${C_p}(T,X)$ of those continuous functions from a completely regular Hausdorff space $T$ into a Banach space $X$ which have relatively compact range.References
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- João B. Prolla, Weighted approximation of continuous functions, Bull. Amer. Math. Soc. 77 (1971), 1021–1024. MR 290014, DOI 10.1090/S0002-9904-1971-12845-8
- W. M. Ruess and W. H. Summers, Compactness in spaces of vector valued continuous functions and asymptotic almost periodicity, Math. Nachr. 135 (1988), 7–33. MR 944213, DOI 10.1002/mana.19881350102 —, Integration of asymptotically almost periodic functions and weak asymptotic almost periodicity (to appear).
Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 99 (1987), 667-670
- MSC: Primary 47B38
- DOI: https://doi.org/10.1090/S0002-9939-1987-0877036-3
- MathSciNet review: 877036