Backward shift operator and finite dimensional de Branges Rovnyak spaces in the ball

D. Alpay, C. Dubi

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

Recently Bolotnikov and Rodman characterized finite dimensional backward shift invariant subspaces of the Arveson space. In this note we study finite dimensional backward shift invariant Hilbert spaces contractively included in the Arveson space. To that purpose we redefine in an appropriate way the backward shift operators in terms of power series expansions.

Original languageEnglish
Pages (from-to)277-285
Number of pages9
JournalLinear Algebra and Its Applications
Volume371
Issue numberSUPPL.
DOIs
StatePublished - 15 Sep 2003

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

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