Examples for the nonlocally convex three space problem

Author:
M. Ribe

Journal:
Proc. Amer. Math. Soc. **73** (1979), 351-355

MSC:
Primary 46A10

DOI:
https://doi.org/10.1090/S0002-9939-1979-0518518-9

MathSciNet review:
518518

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Abstract | References | Similar Articles | Additional Information

Abstract: A simple way to obtain certain examples of locally bounded spaces *E* of the following kind is described: *E* is nonlocally convex but contains a locally convex subspace *K* such that is locally convex.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1979-0518518-9

Keywords:
Locally bounded space,
quotient space,
three space problem,
dual-separation

Article copyright:
© Copyright 1979
American Mathematical Society