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11 - Banach Space Basics

from Part III - The Banach Space Setting

Published online by Cambridge University Press:  10 October 2019

Houman Owhadi
Affiliation:
California Institute of Technology
Clint Scovel
Affiliation:
California Institute of Technology
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Summary

This chapter transitions the presentation to Banach spaces equipped with a quadraticnorm defined by a symmetric positive linear operator. Basic terminology and results are established (using a representation of the dual product that is distinct from the one obtained from the Riesz representation associated with such Banach spaces).

Type
Chapter
Information
Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization
From a Game Theoretic Approach to Numerical Approximation and Algorithm Design
, pp. 151 - 153
Publisher: Cambridge University Press
Print publication year: 2019

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  • Banach Space Basics
  • Houman Owhadi, California Institute of Technology, Clint Scovel, California Institute of Technology
  • Book: Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization
  • Online publication: 10 October 2019
  • Chapter DOI: https://doi.org/10.1017/9781108594967.016
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  • Banach Space Basics
  • Houman Owhadi, California Institute of Technology, Clint Scovel, California Institute of Technology
  • Book: Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization
  • Online publication: 10 October 2019
  • Chapter DOI: https://doi.org/10.1017/9781108594967.016
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Banach Space Basics
  • Houman Owhadi, California Institute of Technology, Clint Scovel, California Institute of Technology
  • Book: Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization
  • Online publication: 10 October 2019
  • Chapter DOI: https://doi.org/10.1017/9781108594967.016
Available formats
×