A variant of separability in dual systems

In (12) we introduced the concept of essential separability and used it to define two classes of locally convex spaces, δ-barrelled spaces and infra-δ-spaces, which serve as domain and range spaces respectively in certain closed graph theorems (12, Theorems 3 and 7). In this note we continue the stu...

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Bibliographic Details
Published in:Proceedings of the Edinburgh Mathematical Society 1977-09, Vol.20 (4), p.317-327
Main Authors: Popoola, J. O., Tweddle, I.
Format: Article
Language:English
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Summary:In (12) we introduced the concept of essential separability and used it to define two classes of locally convex spaces, δ-barrelled spaces and infra-δ-spaces, which serve as domain and range spaces respectively in certain closed graph theorems (12, Theorems 3 and 7). In this note we continue the study of these ideas. The relevant definitions are reproduced below.
ISSN:0013-0915
1464-3839
DOI:10.1017/S0013091500026559