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On The Closed Graph Theorem

Published online by Cambridge University Press:  18 May 2009

Alex. P. Robertson  and
Wendy Robertson
Alex. P. Robertson
Affiliation:
The University Glasgow,
Wendy Robertson
Affiliation:
The University Glasgow,
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The closed graph theorem is one of the deeper results in the theory of Banach spaces and one of the richest in its applications to functional analysis. This note contains an extension of the theorem to certain classes of topological vector spaces. For the most part, we use the terminology and notation of N. Bourbaki [1], contracting “locally convex topological vector space over the real or complex field” to “convex space”; here we confine ourselves to convex spaces.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 3 , Issue 1 , December 1956 , pp. 9 - 12
Copyright
Copyright © Glasgow Mathematical Journal Trust 1956

References

REFERENCES

1.Bourbaki, N., Espaces vectoriels topologiques, Actualités Scientifiques et Industrielles no. 1189, Paris, Hermann, 1953 and no. 1229, Paris, Hermann, 1955.Google Scholar
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