Chapter 8 General Countably Additive Set Functions

  1. Leonard F. Richardson

Published Online: 29 JUN 2009

DOI: 10.1002/9780470501153.ch8

Measure and Integration: A Concise Introduction to Real Ananysis

Measure and Integration: A Concise Introduction to Real Ananysis

How to Cite

Richardson, L. F. (2009) Chapter 8 General Countably Additive Set Functions, in Measure and Integration: A Concise Introduction to Real Ananysis, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470501153.ch8

Publication History

  1. Published Online: 29 JUN 2009
  2. Published Print: 17 JUN 2009

ISBN Information

Print ISBN: 9780470259542

Online ISBN: 9780470501153

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Keywords:

  • general countably additive set functions;
  • signed measures;
  • Hahn decomposition theorem;
  • Radon-Nikodym theorem;
  • Lebesgue decomposition theorem

Summary

This chapter contains sections titled:

  • Hahn Decomposition Theorem

  • Radon-Nikodym Theorem

  • Lebesgue Decomposition Theorem