Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

Proving the Banach–Alaoglu Theorem via the Existence of the Stone–Čech Compactification

Hossein Hosseini Giv
The American Mathematical Monthly
Vol. 121, No. 2 (February 2014), pp. 167-169
DOI: 10.4169/amer.math.monthly.121.02.167
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.121.02.167
Page Count: 3
  • Download ($19.00)
  • Cite this Item
Item Type
Article
References
Proving the Banach–Alaoglu Theorem via the Existence of the Stone–Čech Compactification
Preview not available

Abstract

Abstract The Banach–Alaoglu theorem is an important result in functional analysis whose standard proof relies on Tychonoff’s theorem. In this note, the theorem is proved by assuming the existence of the Stone–Čech compactification for completely regular topological spaces.

Page Thumbnails