A really simple elementary proof of the uniform boundedness theorem

Alan D. Sokal

doi:10.4169/amer.math.monthly.118.05.450

A really simple elementary proof of the uniform boundedness theorem

Alan D. Sokal

Research output: Contribution to journal › Article › peer-review

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	https://doi.org/10.4169/amer.math.monthly.118.05.450
State	Published - May 2011

ASJC Scopus subject areas

General Mathematics

Access to Document

10.4169/amer.math.monthly.118.05.450

Cite this

@article{e0b4e3e961494b66ad15cd81f8b0fb81,

title = "A really simple elementary proof of the uniform boundedness theorem",

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.",

author = "Sokal, {Alan D.}",

year = "2011",

month = may,

doi = "10.4169/amer.math.monthly.118.05.450",

language = "English (US)",

volume = "118",

pages = "450--452",

journal = "American Mathematical Monthly",

issn = "0002-9890",

publisher = "Taylor and Francis Ltd.",

number = "5",

}

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

SN - 0002-9890

VL - 118

SP - 450

EP - 452

JO - American Mathematical Monthly

JF - American Mathematical Monthly

IS - 5

ER -

A really simple elementary proof of the uniform boundedness theorem

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this