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2008 Non-continuous linear functionals on topological vector spaces
Francisco J. Garcia-Pacheco
Banach J. Math. Anal. 2(1): 11-15 (2008). DOI: 10.15352/bjma/1240336267

Abstract

In this article we study the existence of non-continuous linear functionals on topological vector spaces. Both sufficient and necessary conditions for the existence of such maps are found.

Citation

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Francisco J. Garcia-Pacheco . "Non-continuous linear functionals on topological vector spaces." Banach J. Math. Anal. 2 (1) 11 - 15, 2008. https://doi.org/10.15352/bjma/1240336267

Information

Published: 2008
First available in Project Euclid: 21 April 2009

zbMATH: 1134.46002
MathSciNet: MR2378752
Digital Object Identifier: 10.15352/bjma/1240336267

Subjects:
Primary: 54C05
Secondary: 46A03 , 46A55

Keywords: absorbing , balanced , basis , convex , empty interior , non-continuous linear functional

Rights: Copyright © 2008 Tusi Mathematical Research Group

Vol.2 • No. 1 • 2008
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