Vector-valued continuous functions with strict topologies and angelic topological spaces
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- by Surjit Singh Khurana PDF
- Proc. Amer. Math. Soc. 69 (1978), 34-36 Request permission
Abstract:
It is proved that if X is a metric space, E a Banach space containing a $\sigma$-weakly-compact dense subset, then the space $({M_\tau }(X,E’),\sigma ({M_\tau }(X,E’),{C_b}(X,E)))$ is angelic, ${C_b}(X,E)$ being all bounded continuous functions from X into E and ${M_\tau }(X,E’)$ the dual of ${C_b}(X,E)$ with the strict topology $\beta$.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 69 (1978), 34-36
- MSC: Primary 46E40
- DOI: https://doi.org/10.1090/S0002-9939-1978-0493313-7
- MathSciNet review: 0493313