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Analytic Approximation of Matrix Functions

  • Vladimir Peller
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

We study in this chapter the problem of approximating an essentially bounded matrix function on 𝕋 by bounded analytic matrix functions in D. For such a matrix function Φ. ∈ L(𝕄 m,n ) its L norm ||Φ||L is, by definition,
$$ {\left\| \Phi \right\|_{{L\infty }}} = ess\mathop{{\sup }}\limits_{{\zeta \in T}} {\left\| {\Phi \left( \zeta \right)} \right\|_{{{M_{{m,n}}}}}} $$
(1)

Keywords

Matrix Function Analytic Approximation Toeplitz Operator Thematic Factorization Hankel Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York, Inc. 2003

Authors and Affiliations

  • Vladimir Peller
    • 1
  1. 1.Department of MathematicsMichigan State UniversityEast LansingUSA

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