Document Zbl 1067.26006

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The Riesz approach to the Lebesgue integral and complete function spaces. (English) Zbl 1067.26006

Real Anal. Exch. 27(2001-2002), No. 2, 635-660 (2002).

From the abstract: “This paper is a step by step account of the Riesz approach to the Lebesgue integral. Besides, motivating the use of “almost everywhere” tools, we eliminate unnecessary equivalences, and we give a simple representation of a complete space of integrable functions, usually missing from classical treatises.”

Reviewer: Tuan Seng Chew (Singapore)

MSC:

26A42	Integrals of Riemann, Stieltjes and Lebesgue type
28C05	Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures

Keywords:

Riesz approach; Lebesgue integral; pointwise Daniell continuity

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