1. Vector Integration

  1. Nicolae Dinculeanu

Published Online: 30 SEP 2011

DOI: 10.1002/9781118033012.ch1

Vector Integration and Stochastic Integration in Banach Spaces

Vector Integration and Stochastic Integration in Banach Spaces

How to Cite

Dinculeanu, N. (2000) Vector Integration, in Vector Integration and Stochastic Integration in Banach Spaces, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118033012.ch1

Publication History

  1. Published Online: 30 SEP 2011
  2. Published Print: 21 JAN 2000

ISBN Information

Print ISBN: 9780471377382

Online ISBN: 9781118033012

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Keywords:

  • vector integration;
  • Banach spaces;
  • classes of sets;
  • measurable function;
  • weak measurability

Summary

This chapter contains sections titled:

  • Preliminaries

  • Measures with finite variation

  • σ-additive measures

  • Measures with finite semivariation

  • Integration with respect to a measure with finite semivariation

  • Strong additivity

  • Extension of measures

  • Applications