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Remarkable Hyperplanes in Locally Convex Spaces of Dimension at Most C

Published online by Cambridge University Press:  20 November 2018

Bella Tsirulnikov
Bella Tsirulnikov*
Affiliation:
Department of Mathematical Sciences, Tel-Aviv, University Ramat-Aviv, Tel-Aviv, Israel
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Abstract

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Every locally convex space E of dimension at most c contains a hyperplane G with the following property: the linear hull of each bounded Banach disk in G is finite-dimensional.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 3 , 01 September 1981 , pp. 369 - 371
Copyright
Copyright © Canadian Mathematical Society 1981

References

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3. Tsirulnikov, B.. On conservation of barrelledness properties in locally convex spaces, (to appear).Google Scholar
4. Valdivia, M.. Sur certains hyperplans que ne sont pas ultrabornologiques dans les espaces ultrabornologiques. C.R. Acad. Se. Paris, 284 (1977), 935-937.Google Scholar