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Concerning the “panneaux” of M. Sova

Published online by Cambridge University Press:  14 November 2011

H. A. Donegan  and
T. B. M. McMaster
H. A. Donegan
Affiliation:
School of Mathematics, Ulster Polytechnic, Jordanstown, Co. Antrim
T. B. M. McMaster
Affiliation:
Department of Pure Mathematics, Queen's University, Belfast BT7 1NN
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Synopsis

For the investigation of certain kinds of reflexivity in topological vector spaces, Sova has shown that the ideas of panneaux and of espaces pannelés are as crucial as are those of barrels and of barrelled spaces. The objectives of this note are: (i) to establish the existence of (concentrated) barrels which are not panneaux, and (ii) to observe the equivalence of the conditions “pannelé” and “barrelled” for metrizable spaces, and the failure of this equivalence for general spaces.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 87 , Issue 3-4 , 1981 , pp. 231 - 233
Copyright
Copyright © Royal Society of Edinburgh 1981

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References

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