The Riesz Representation Theorem Revisited

DOI10.2307/2975760zbMath0534.28004OpenAlexW4255712638MaRDI QIDQ3317311

Donald G. Hartig

Publication date: 1983

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2975760

zbMATH Keywords

Riesz representation theoremtopological proofextremally disconnected spacecategorical formulation

Mathematics Subject Classification ID

Compactness (54D30) Natural morphisms, dinatural morphisms (18A23) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Related Items (8)

An uncountable Mackey–Zimmer theorem ⋮ Foundational aspects of uncountable measure theory: Gelfand duality, Riesz representation, canonical models, and canonical disintegration ⋮ An approach to F. Riesz representation Theorem ⋮ An isometric representation of the dual of \(\mathcal{C}\left(X,\mathbb{R}\right)\) ⋮ Yet another short proof of the Riesz representation theorem ⋮ The Cut Metric for Probability Distributions ⋮ Uniform logical new proofs for the Daniell-Stone theorem and the Riesz representation theorem ⋮ The shaping of the Riesz representation theorem: A chapter in the history of analysis

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