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Proceedings of the American Mathematical Society

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Embedding in topological vector spaces


Author: Gary Richardson
Journal: Proc. Amer. Math. Soc. 65 (1977), 365-369
MSC: Primary 46A20; Secondary 54C25
DOI: https://doi.org/10.1090/S0002-9939-1977-0442630-4
MathSciNet review: 0442630
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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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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1977-0442630-4
Keywords: Topological vector spaces, convergence spaces, continuous convergence
Article copyright: © Copyright 1977 American Mathematical Society

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