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Nearly invariant subspaces

  • Alexandru Aleman
  • William T. Ross
  • Nathan S. Feldman
Part of the Frontiers in Mathematics book series (FM)

Abstract

For a general domain Open image in new window , a subspace1 NH2 (Ω) (not necessarily invariant) is said to be nearly invariant if there is some λ0 ∈ Ω such that whenever fN and f0) = 0, then
$$ \frac{f} {{z - \lambda _0 }} \in N. $$
The following useful proposition, found in [7, Prop. 5.1], says that we need not single out a particular λ0.

Keywords

Invariant Subspace Toeplitz Operator Extremal Function Common Zero Linear Manifold 
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

© Birkhäuser Verlag AG 2009

Authors and Affiliations

  • Alexandru Aleman
    • 1
  • William T. Ross
    • 2
  • Nathan S. Feldman
    • 3
  1. 1.Centre for Mathematical SciencesLund UniversityLundSweden
  2. 2.Department of Mathematics and Computer ScienceUniversity of RichmondRichmondUSA
  3. 3.Department of MathematicsWashington & Lee UniversityLexingtonUSA

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