On separability in linear topological spaces
HTML articles powered by AMS MathViewer
- by Robert H. Lohman and Wilbur J. Stiles PDF
- Proc. Amer. Math. Soc. 42 (1974), 236-237 Request permission
Abstract:
This paper contains (1) an example of a separable linear topological space with a closed nonseparable linear subspace, and (2) a proof of the fact that every metrizable subspace of a separable linear topological space is separable.References
- Haskell P. Rosenthal, On quasi-complemented subspaces of Banach spaces, with an appendix on compactness of operators from $L^{p}\,(\mu )$ to $L^{r}\,(\nu )$, J. Functional Analysis 4 (1969), 176–214. MR 0250036, DOI 10.1016/0022-1236(69)90011-1
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 42 (1974), 236-237
- MSC: Primary 46A99
- DOI: https://doi.org/10.1090/S0002-9939-1974-0326350-X
- MathSciNet review: 0326350