On two-sided interpolation for upper triangular Hilbert-Schmidt operators

Daniel Alpay; Vladimir Bolotnikov

doi:10.1007/BF01195119

On two-sided interpolation for upper triangular Hilbert-Schmidt operators

Daniel Alpay, Vladimir Bolotnikov

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Motivated by the theory of nonstationary linear systems a number of problems in the theory of analytic functions have analogues in the setting of upper-triangular operators, where the complex variable is replaced by a diagonal operator. In this paper we focus on the analogue of interpolation in the Hardy space H₂ and study a two-sided Nudelman type interpolation problem in the framework of upper-triangular Hilbert-Schmidt operators.

Original language	English
Pages (from-to)	259-286
Number of pages	28
Journal	Integral Equations and Operator Theory
Volume	31
Issue number	3
DOIs	https://doi.org/10.1007/BF01195119
State	Published - 1 Jan 1998

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.1007/BF01195119

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title = "On two-sided interpolation for upper triangular Hilbert-Schmidt operators",

abstract = "Motivated by the theory of nonstationary linear systems a number of problems in the theory of analytic functions have analogues in the setting of upper-triangular operators, where the complex variable is replaced by a diagonal operator. In this paper we focus on the analogue of interpolation in the Hardy space H2 and study a two-sided Nudelman type interpolation problem in the framework of upper-triangular Hilbert-Schmidt operators.",

author = "Daniel Alpay and Vladimir Bolotnikov",

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AU - Alpay, Daniel

AU - Bolotnikov, Vladimir

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N2 - Motivated by the theory of nonstationary linear systems a number of problems in the theory of analytic functions have analogues in the setting of upper-triangular operators, where the complex variable is replaced by a diagonal operator. In this paper we focus on the analogue of interpolation in the Hardy space H2 and study a two-sided Nudelman type interpolation problem in the framework of upper-triangular Hilbert-Schmidt operators.

AB - Motivated by the theory of nonstationary linear systems a number of problems in the theory of analytic functions have analogues in the setting of upper-triangular operators, where the complex variable is replaced by a diagonal operator. In this paper we focus on the analogue of interpolation in the Hardy space H2 and study a two-sided Nudelman type interpolation problem in the framework of upper-triangular Hilbert-Schmidt operators.

UR - http://www.scopus.com/inward/record.url?scp=0032129049&partnerID=8YFLogxK

U2 - 10.1007/BF01195119

DO - 10.1007/BF01195119

M3 - Article

AN - SCOPUS:0032129049

SN - 0378-620X

VL - 31

SP - 259

EP - 286

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 3

ER -

On two-sided interpolation for upper triangular Hilbert-Schmidt operators

Abstract

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