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Some Questions of Measure Theory

  • V. V. Volchkov

Abstract

Let X be a non-empty set and let \( \mathfrak{S} \) be a some sigma algebra of subsets in X. Let μbea measure on \( \mathfrak{S} \). We denote by μ(A) the value of measure μ on the set A\( \mathfrak{S} \). The collection (X, \( \mathfrak{S} \), μ) is called a measure space.

Keywords

Banach Space Lebesgue Measure Measure Space Measure Theory Integral Geometry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • V. V. Volchkov
    • 1
  1. 1.Department of MathematicsDonetsk National UniversityDonetskUkraine

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