A really simple elementary proof of the uniform boundedness theorem

Details A really simple elementary proof of the uniform boundedness theorem A really simple elementary proof of the uniform boundedness theorem

2010-05-10

arxiv.org/abs/1005.1585v2

Amer. Math. Monthly 118, 450-452 (2011)

Mathematics

Functional Analysis

LaTex2e, 5 pages. Version 2 improves the exposition by isolating the key lemma. To appear in the American Mathematical Monthly

Scientific paper

10.4169/amer.math.monthly.118.05

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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