The Radon–Nikodym Theorem

Alexander Kharazishvili
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Alexander Kharazishvili: Tbilisi State University, Andrea Razmadze Mathematical Institute

Chapter Chapter 26 in Lectures on Real-valued Functions, 2025, pp 271-279 from Springer

Abstract: Abstract One of the most important results in classical measure theory is the Radon–Nikodym theorem. In the present chapter we give the standard proof of this remarkable theorem. Also, in the sequel we will touch upon nontrivial logical interrelations between the Radon–Nikodym theorem and some other statements of mathematical analysis.

Date: 2025
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DOI: 10.1007/978-3-031-95369-9_26

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