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2001/2002 The Riesz Approach to the Lebesgue Integral and Complete Function Spaces
Paolo Roselli
Real Anal. Exchange 27(2): 635-660 (2001/2002).

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.

Citation

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Paolo Roselli. "The Riesz Approach to the Lebesgue Integral and Complete Function Spaces." Real Anal. Exchange 27 (2) 635 - 660, 2001/2002.

Information

Published: 2001/2002
First available in Project Euclid: 2 June 2008

zbMATH: 1067.26006
MathSciNet: MR1923154

Subjects:
Primary: 26A42 , 28C05

Keywords: Complete spaces , Lebesgue integral , Riesz spaces

Rights: Copyright © 2001 Michigan State University Press

Vol.27 • No. 2 • 2001/2002
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