Rethinking the Lebesgue Integral

DOI10.4169/000298909X476998zbMath1229.26019OpenAlexW2083857562WikidataQ58255128 ScholiaQ58255128MaRDI QIDQ3107115

Peter D. Lax

Publication date: 1 January 2012

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

Full work available at URL: https://doi.org/10.4169/000298909x476998

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Integration with respect to measures and other set functions (28A25) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Integral calculus (educational aspects) (97I50)

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The Bounded Convergence Theorem

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