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Barrelled space
In functional analysis and related areas of mathematics barrelled spaces are topological vector spaces where every barrelled set in the space is a neighbourhood for 0. They are studied because the Banach-Steinhaus theorem still holds for them.
Examples
Every Fréchet space is a barelled space
10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details