Bounded continuous functions on a completely regular space
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- by F. Dennis Sentilles PDF
- Trans. Amer. Math. Soc. 168 (1972), 311-336 Request permission
Abstract:
Three locally convex topologies on $C(X)$ are introduced and developed, and in particular shown to coincide with the strict topology on locally compact $X$ and yield dual spaces consisting of tight, $\tau$-additive and $\sigma$-additive functionals respectively for completely regular $X$.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 168 (1972), 311-336
- MSC: Primary 46E10; Secondary 54C35
- DOI: https://doi.org/10.1090/S0002-9947-1972-0295065-1
- MathSciNet review: 0295065