EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 40(54), pp. 113--115 (1986)

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A NOTE ON THE TOPOLOGY ASSOCIATED WITH A LOCALLY CONVEX SPACE

Stojan Radenovi\'c

Prirodno-matemati\v cki fakultet fakultet, 34000 Kragujevac, Yugoslavia

Abstract: We show that the barrelled (resp\. $\sigma$-barrelled, $d$-barrelled) topology associated with a locally convex space $(E,t)$ induces on a subspace $F$ of countable conimension in $E$ the associated barrelled (resp\. $\sigma$-barrelled $d$-barrelled) topology. We also give a new proof of a few results from [8].

Classification (MSC2000): 46A07

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 22 Aug 2002.

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