Azela-Ascoli Theorem and Its Applications

Emmanuel Akweittey, Gabriel O. Fosu, Mubarack Ahmed, Yarhands Dissou Arthur

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


Keywords


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

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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.




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

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