A note on $C_{c}(X)$
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- by G. D. Richardson and D. C. Kent PDF
- Proc. Amer. Math. Soc. 49 (1975), 441-445 Request permission
Abstract:
When $X$ is a locally convex topological linear space, the function algebra ${C_c}(X)$ (with continuous convergence) can have a closure operator which has infinitely many distinct iterations. The reverse situation is also possible: $X$ can be a locally compact $c$-embedded convergence space whose closure operator has infinitely many distinct iterations, whereas ${C_c}(X)$ is a topological space.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 49 (1975), 441-445
- MSC: Primary 54C35; Secondary 54A20
- DOI: https://doi.org/10.1090/S0002-9939-1975-0370483-X
- MathSciNet review: 0370483