Yet another short proof of the Riesz representation theorem

Author:

Ross David

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

1. A Loeb measure approach to the Riesz representation theorem;Zivaljevic;Publ. Inst. Math. (Beograd) (N.S.),1982

2. A functional approach to nonstandard measure theory

3. Über die Theorie der einfachen Ungleichungen;Farkas;J. Math.,1902

4. Another ‘short’ proof of the Riesz representation theorem

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Uniform Logical New Proofs for the Daniell–Stone Theorem and the Riesz Representation Theorem;Bulletin of the Iranian Mathematical Society;2022-01-04

2. Loeb Measure and Probability;Nonstandard Analysis;1997

3. Pushing down Loeb measures.;MATHEMATICA SCANDINAVICA;1993-12-01

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