On two-sided interpolation for upper triangular matrices

Daniel Alpay; Vladimir Bolotnikov

On two-sided interpolation for upper triangular matrices

Daniel Alpay
, Vladimir Bolotnikov

Department of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	31-55
Number of pages	25
Journal	Electronic Journal of Linear Algebra
Volume	6
State	Published - 1 Mar 2000

Keywords

Interpolation
Matrices

ASJC Scopus subject areas

Algebra and Number Theory

Cite this

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title = "On two-sided interpolation for upper triangular matrices",

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.",

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journal = "Electronic Journal of Linear Algebra",

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T1 - On two-sided interpolation for upper triangular matrices

AU - Alpay, Daniel

AU - Bolotnikov, Vladimir

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N2 - 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.

AB - 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.

KW - Interpolation

KW - Matrices

UR - https://www.scopus.com/pages/publications/3042572719

M3 - Article

AN - SCOPUS:3042572719

SN - 1081-3810

VL - 6

SP - 31

EP - 55

JO - Electronic Journal of Linear Algebra

JF - Electronic Journal of Linear Algebra

ER -

On two-sided interpolation for upper triangular matrices

Abstract

Keywords

ASJC Scopus subject areas

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