a1 University of Stirling, and University of Lagos
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.
(Received November 19 1975)
† The first author was supported by a Commonwealth Academic Staff Scholarship which he gratefully acknowledges.