Azela-Ascoli Theorem and Its Applications

Authors

  • Emmanuel Akweittey Presbyterian university college, Ghana
  • Gabriel O. Fosu
  • Mubarack Ahmed
  • Yarhands Dissou Arthur

DOI:

https://doi.org/10.24203/ajas.v7i4.5877

Keywords:

Azela-Ascoli theorem, Application, compactness and continuous functions.

Abstract

In this study we looked at the theorm Azela-Ascoli and its application to functional analysis, ordinary dierential equations and complex analysis. This theorem simplies the checking of compactness for subsets of spaces of continuous functions in much the same way the Heine-Borel theorem does for subsets of Rn

References

A.N. Kolmogorov S.V. Fomin, Silverman Richard A.. Introductory Real Analysis. Dover Publications 1975.

Rudin Walter. Functional Analysis. McGraw-Hill 1991.

Simmons George F.. Introduction to topology and modern analysis. Krieger Publishing Company 2003.

Gosman Casper, Perdrick George. First Course in Functional Analysis. Prentice Hall; 1st edition 1965.

Published

2019-08-24

How to Cite

Akweittey, E., Fosu, G. O., Ahmed, M., & Arthur, Y. D. (2019). Azela-Ascoli Theorem and Its Applications. Asian Journal of Applied Sciences, 7(4). https://doi.org/10.24203/ajas.v7i4.5877

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