The Integral on C(K)

  • Vladimir KadetsEmail author
Part of the Universitext book series (UTX)


In the first three sections of this chapter we treat in detail the integration theory for functions on a compact topological space K. In the last section the results obtained will be applied to the proof of the Riesz–Markov–Kakutani theorem on the general form of linear functionals on the space C(K).

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Mathematics and Computer ScienceV. N. Karazin Kharkiv National UniversityKharkivUkraine

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