Rational Hardy Spaces

  • Paul A. Fuhrmann
Part of the Universitext book series (UTX)


We devote this chapter to a description of the setting in which we will study, in Chapter 12, model reduction problems. These will include approximation in Hankel norm as well as approximation by balanced truncation. Since optimization is involved, we choose to work in rational Hardy spaces. This fits with our focus on finite-dimensional linear systems.


Model Reduction Problem Hankel Norm Balanced Truncation Intertwining Map Hankel Operators 
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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Paul A. Fuhrmann
    • 1
  1. 1.Ben-Gurion University of the NegevBeer ShevaIsrael

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