Open Access
June 2006 Bounded sets and dual strong sequences in locally convex spaces
Bella Tsirulnikov
Bull. Belg. Math. Soc. Simon Stevin 13(2): 295-304 (June 2006). DOI: 10.36045/bbms/1148059464

Abstract

Given a duality $\langle E, F\rangle$, a dual strong sequence is a sequence of bidual enlargements of $F$ in the algebraic dual $E^\ast$ of $E$. In this article, we investigate the bounded sets generated by a dual strong sequence and related associated topologies.

Citation

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Bella Tsirulnikov. "Bounded sets and dual strong sequences in locally convex spaces." Bull. Belg. Math. Soc. Simon Stevin 13 (2) 295 - 304, June 2006. https://doi.org/10.36045/bbms/1148059464

Information

Published: June 2006
First available in Project Euclid: 19 May 2006

zbMATH: 1144.46003
MathSciNet: MR2259908
Digital Object Identifier: 10.36045/bbms/1148059464

Subjects:
Primary: 46A08

Keywords: associated topologies , bounded sets , dual strong sequence , locally barrelled , transbarrel

Rights: Copyright © 2006 The Belgian Mathematical Society

Vol.13 • No. 2 • June 2006
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