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zbMATH Open
Article . 1977
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Proceedings of the American Mathematical Society
Article . 1977 . Peer-reviewed
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Proceedings of the American Mathematical Society
Article . 1977 . Peer-reviewed
Data sources: Crossref
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Embedding in Topological Vector Spaces

Embedding in topological vector spaces
Authors: Richardson, Gary;

Embedding in Topological Vector Spaces

Abstract

Let LX denote the set of all continuous linear functionals on the locally convex topological vector space X. The space L co X {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 co ( L co X ) {L_{{\text {co}}}}({L_{{\text {co}}}}X) is an embedding.

Keywords

General theory of locally convex spaces, Barrelled spaces, bornological spaces, Topological linear spaces and related structures, Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.), Embedding

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
bronze