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The Lebesgue decomposition theorem for arbitrary contents

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Publication:865018
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DOI10.1007/s11117-006-0045-2zbMath1113.28004OpenAlexW2042307160MaRDI QIDQ865018

Heinz Koenig

Publication date: 13 February 2007

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-006-0045-2

zbMATH Keywords

absolutely continuous set functionsdifference formation for arbitrary contentsLebesgue decomposition theorem for contents and measuressingular set functions


Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12)


Related Items

On the absolute continuity of additive and non-additive functions, Lebesgue decomposition of contents via nonnegative forms, On the Lebesgue decomposition for non-additive functions



Cites Work

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  • Upper envelopes of inner premeasures
  • Lebesgue decomposition and weakly Borel measures
  • Additive set functions and vector lattices
  • A Decomposition of Finitely Additive Set Functions.
  • What Are Signed Contents and Measures?
  • On the Lebesgue Decomposition Theorem
  • Measure and Integration
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