On two-sided interpolation for upper triangular matrices

Daniel Alpay, Vladimir Bolotnikov

Research output: Contribution to journalArticlepeer-review

Abstract

The space of upper triangular matrices with Hilbert-Schmidt norm can be viewed as a finite dimensional analogue of the Hardy space H2 of the unit disk when one introduces the adequate notion of "point" evaluation. A bitangential interpolation problem in this setting is studied. The description of all solution in terms of Beurling-Lax representation is given.

Original languageEnglish
Pages (from-to)31-55
Number of pages25
JournalElectronic Journal of Linear Algebra
Volume6
StatePublished - 1 Mar 2000

Keywords

  • Interpolation
  • Matrices

ASJC Scopus subject areas

  • Algebra and Number Theory

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