Lebesgue theory in the bidual of 𝐶(𝑋)

DOI10.1090/MEMO/0579zbMath0867.46018OpenAlexW2147433468MaRDI QIDQ4880266

Samuel Kaplan

Publication date: 13 August 1996

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0579

zbMATH Keywords

Banach latticesRiemann integrationconvergence in measureLusin theoremEgorov theoremunbounded order convergenceLebesgue theorydiffuse measuresalmost everywhere order convergencealmost everywhere unbounded order convergenceLebesgue bounded convergence theorem

Mathematics Subject Classification ID

Banach lattices (46B42) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05) Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46G99)

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