### 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.

Original language | English (US) |
---|---|

Pages (from-to) | 450-452 |

Number of pages | 3 |

Journal | American Mathematical Monthly |

Volume | 118 |

Issue number | 5 |

DOIs | |

State | Published - May 2011 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*American Mathematical Monthly*,

*118*(5), 450-452. https://doi.org/10.4169/amer.math.monthly.118.05.450

**A really simple elementary proof of the uniform boundedness theorem.** / Sokal, Alan D.

Research output: Contribution to journal › Article

*American Mathematical Monthly*, vol. 118, no. 5, pp. 450-452. https://doi.org/10.4169/amer.math.monthly.118.05.450

}

TY - JOUR

T1 - A really simple elementary proof of the uniform boundedness theorem

AU - Sokal, Alan D.

PY - 2011/5

Y1 - 2011/5

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=79956090536&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79956090536&partnerID=8YFLogxK

U2 - 10.4169/amer.math.monthly.118.05.450

DO - 10.4169/amer.math.monthly.118.05.450

M3 - Article

AN - SCOPUS:79956090536

VL - 118

SP - 450

EP - 452

JO - American Mathematical Monthly

JF - American Mathematical Monthly

SN - 0002-9890

IS - 5

ER -