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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.

Information

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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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