On separability in linear topological spaces
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.
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Keywords: Separable linear space, nonseparable linear subspace, metrizable linear subspace
Article copyright: © Copyright 1974 American Mathematical Society