Embedding in topological vector spaces

Richardson, Gary

doi:10.1090/S0002-9939-1977-0442630-4

Embedding in topological vector spaces
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Proc. Amer. Math. Soc. 65 (1977), 365-369 Request permission

Abstract:

Let LX denote the set of all continuous linear functionals on the locally convex topological vector space X. The space ${L_{{\text {co}}}}X$ denotes LX endowed with the compact-open topology. We investigate the spaces, X, which have the property that the natural map from X into ${L_{{\text {co}}}}({L_{{\text {co}}}}X)$ is an embedding.

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