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arXiv · 1005.1585

A really simple elementary proof of the uniform boundedness theorem

Alan D. Sokal
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Abstract

I give a proof of the uniform boundedness theorem that is elementary (i.e. does not use any version of the Baire category theorem) and also extremely simple.

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Alan D. Sokal. 2010-05-10. A really simple elementary proof of the uniform boundedness theorem. https://doi.org/10.4169/amer.math.monthly.118.05.450

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