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Countable-codimensional subspaces of locally convex spaces

Published online by Cambridge University Press:  20 January 2009

J. H. Webb
J. H. Webb
Affiliation:
University of Cape Town, South Africa
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A barrel in a locally convex Hausdorff space E[τ] is a closed absolutely convex absorbent set. A σ-barrel is a barrel which is expressible as a countable intersection of closed absolutely convex neighbourhoods. A space is said to be barrelled (countably barrelled) if every barrel (σ-barrel) is a neighbourhood, and quasi-barrelled (countably quasi-barrelled) if every bornivorous barrel (σ-barrel) is a neighbourhood. The study of countably barrelled and countably quasi-barrelled spaces was initiated by Husain (2).

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 18 , Issue 3 , June 1973 , pp. 167 - 172
Copyright
Copyright © Edinburgh Mathematical Society 1973

References

REFERENCES

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