If H(E) is a de Branges space and ω is a nonnegative function on ℝ, define a de Branges subspace of H(E) by (formula presented). It is known that one-dimensional de Branges subspaces generated in this way are related to minimal majorants. We investigate finite-dimensional de Branges subspaces, their representability in terms of majorants, and their relation to minimal majorants.

Original languageEnglish
Title of host publicationSpectral Theory in Inner Product Spaces and Applications - 6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, 2006
EditorsJussi Behrndt, Karl-Heinz Förster, Heinz Langer, Carsten Trunk
PublisherSpringer Nature
Pages37-48
Number of pages12
ISBN (Print)9783764389109
DOIs
StatePublished - 1 Jan 2008
Event6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, 2006 - Berlin, Germany
Duration: 14 Dec 200617 Dec 2006

Publication series

NameOperator Theory: Advances and Applications
Volume188
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

Conference

Conference6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, 2006
Country/TerritoryGermany
CityBerlin
Period14/12/0617/12/06

    Scopus subject areas

  • Analysis

    Research areas

  • Admissible majorant, Beurling-Malliavin Theorem, De branges subspace

ID: 62180250