A Really Simple Elementary Proof of the Uniform Boundedness Theorem

作者:Sokal Alan D*
来源:American Mathematical Monthly, 2011, 118(5): 450-452.
DOI:10.4169/amer.math.monthly.118.05.450

摘要

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.

  • 出版日期2011-5