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Embedding locally convex spaces in nearly exotic spaces

Published online by Cambridge University Press:  24 October 2008

N. T. Peck
N. T. Peck
Affiliation:
University of Illinois, Urbana, Illinois, U.S.A.
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Abstract

It is proved that every locally convex space is linearly homeomorphic to a subspace of a space which admits no non-trivial continuous linear functionals.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 70 , Issue 3 , November 1971 , pp. 399 - 400
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

REFERENCES

(1)Klee, V. L. Exotic topologies for linear spaces. Proc. Symposium, on General Topology and its Relations to Modern Algebra (Prague, 1961).Google Scholar