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Yet another short proof of the Riesz representation theorem

Published online by Cambridge University Press:  24 October 2008

David Ross
David Ross
Affiliation:
Department of Pure Mathematics, University of Hull, Hull HU6 7RX
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Extract

F. Riesz's ‘Representation Theorem’ has been proved by methods classical [11, 12], category-theoretic [7], and functional-analytic [2, 9]. (Garling's remarkable proofs [5, 6] owe their brevity to the combined strength of these and other methods.) These proofs often reveal a connection between the Riesz theorem and some unexpected area of mathematics.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 105 , Issue 1 , January 1989 , pp. 139 - 140
Copyright
Copyright © Cambridge Philosophical Society 1989

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References

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