Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problem

Daniel Alpay; H. Turgay Kaptanoǧlu

doi:10.1007/BF01203020

Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problem

Daniel Alpay, H. Turgay Kaptanoǧlu

Department of Mathematics

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

34 Scopus citations

Abstract

We solve Gleason's problem in the reproducing kernel Hilbert space with reproducing kernel 1/(1- ∑₁^N z_jw*_j). We define and study some finite-dimensional resolvent-invariant subspaces that generalize the finite-dimensional de Branges-Rovnyak spaces to the setting of the ball.

Original language	English
Pages (from-to)	1-21
Number of pages	21
Journal	Integral Equations and Operator Theory
Volume	42
Issue number	1
DOIs	https://doi.org/10.1007/BF01203020
State	Published - 3 Dec 2002

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.1007/BF01203020

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abstract = "We solve Gleason's problem in the reproducing kernel Hilbert space with reproducing kernel 1/(1- ∑1N zjw*j). We define and study some finite-dimensional resolvent-invariant subspaces that generalize the finite-dimensional de Branges-Rovnyak spaces to the setting of the ball.",

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AB - We solve Gleason's problem in the reproducing kernel Hilbert space with reproducing kernel 1/(1- ∑1N zjw*j). We define and study some finite-dimensional resolvent-invariant subspaces that generalize the finite-dimensional de Branges-Rovnyak spaces to the setting of the ball.

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Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problem

Abstract

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