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Invariant Subspaces

  • Nikolaĭ K. Nikol’skiĭ
Chapter
  • 360 Downloads
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 273)

Abstract

The study of invariant subspaces of the operators S and L has a fundamental significance for our subject. Such a study was initiated essentially already by Szegö and Wiener but the really basic contribution came with the paper by Beurling from the year 1949 which we have already referred to. Later Beurling’s methods were perfected by many authors and led to the most transparent proofs which we set forth in this Lecture.

Keywords

Hilbert Space Invariant Subspace Banach Lattice Great Common Divisor Outer Function 
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 Berlin Heidelberg 1986

Authors and Affiliations

  • Nikolaĭ K. Nikol’skiĭ
    • 1
  1. 1.Leningrad Branch of the Steklov Mathematical InstituteLeningardUSSR

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