8. The Lp Spaces

  1. Eric M. Vestrup

Published Online: 27 MAY 2008

DOI: 10.1002/9780470317112.ch8

The Theory of Measures and Integration

The Theory of Measures and Integration

How to Cite

Vestrup, E. M. (2003) The Lp Spaces, in The Theory of Measures and Integration, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470317112.ch8

Publication History

  1. Published Online: 27 MAY 2008
  2. Published Print: 4 SEP 2003

ISBN Information

Print ISBN: 9780471249771

Online ISBN: 9780470317112

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Keywords:

  • Riesz-Fischer theorem;
  • bounded linear functionals;
  • classical analysis;
  • Measure theory

Summary

The prelims comprise:

  • LP Space: The Case 1 ⩽ p < +∞

  • The Riesz-Fischer Theorem

  • LP Space: The Case 0 < p < 1

  • LP Space: The Case p = +∞

  • Containment Relations For LP Spaces

  • Approximation

  • More Convergence Concepts

  • Prelude to the Riesz Representation Theorem

  • The Riesz Representation Theorem