Abstract
We discuss the Arzela-Ascoli pre-compactness Theorem from the point of view of Functional Analysis, using compactness in $\ell^\infty$ and its dual.
Citation
Gabriel Nagy. "A Functional Analysis Point of View on the Arzela-Ascoli Theorem." Real Anal. Exchange 32 (2) 583 - 586, 2006/2007.
Information
Published: 2006/2007
First available in Project Euclid: 3 January 2008
zbMATH: 1139.46026
MathSciNet: MR2369867
Subjects:
Primary:
46L35
Secondary:
46L05
Keywords:
AW*-algebras
,
quasitrac
,
self-commutator
Rights: Copyright © 2006 Michigan State University Press
