A new proof for the Banach-Zarecki theorem: a light on integrability and continuity

zbMath1298.26042arXiv1206.2602MaRDI QIDQ459264

Homayoon Eshraghi, Ali Mahdipour-Shirayeh

Publication date: 8 October 2014

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.2602

zbMATH Keywords

Radon-Nikodym theoremLusin's conditionBanach-Zarecki theorem

Mathematics Subject Classification ID

Measures and integration on abstract linear spaces (46G12) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

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Modes of convergence in nets, counterexamples, and lineability

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