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The countable neighbourhood property and tensor products

Published online by Cambridge University Press:  20 January 2009

José Bonet
José Bonet
Affiliation:
Departamento De Matematicas, E.T.S.I. Industriales, Universidad Politecnica, C. de Vera, Valencia, Spain
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This article is intended to enlarge the study of spaces satisfying the countable neighbourhood property and to clarify the incidence of this property in the stability of some locally convex properties of tensor products.

We shall use the standard notations of locally convex spaces as in [17] and [18]. The word space will always mean separated locally convex space. If (£, t) is a space, the set of all continuous seminorms on it will be denoted by cs(E). The linear hull and the absolutely convex hull of a subset C of a space will be written lin(C) and г(C) respectively.

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 28 , Issue 2 , June 1985 , pp. 207 - 215
Copyright
Copyright © Edinburgh Mathematical Society 1985

References

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