Interpolating and uniqueness sequences for de Branges–Rovnyak spaces

Ching on Lo; Anthony Wai keung Loh

doi:10.1007/s11587-021-00583-3

Interpolating and uniqueness sequences for de Branges–Rovnyak spaces

Division of Science, Engineering and Health Studies (SEHS)

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

Abstract

Let b be a non-constant function in the unit ball of H^∞. We characterize the universal interpolating sequences and the uniqueness sequences for the de Branges–Rovnyak space H(b) , a Hilbert space contractively contained in H².

Original language	English
Pages (from-to)	33-44
Number of pages	12
Journal	Ricerche di Matematica
Volume	72
Issue number	1
DOIs	https://doi.org/10.1007/s11587-021-00583-3
Publication status	Published - 11 Apr 2021

Keywords

Extreme points
Uniqueness sequences
Universal interpolating sequences
de Branges–Rovnyak spaces

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10.1007/s11587-021-00583-3

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title = "Interpolating and uniqueness sequences for de Branges–Rovnyak spaces",

abstract = "Let b be a non-constant function in the unit ball of H∞. We characterize the universal interpolating sequences and the uniqueness sequences for the de Branges–Rovnyak space H(b) , a Hilbert space contractively contained in H2.",

keywords = "Extreme points, Uniqueness sequences, Universal interpolating sequences, de Branges–Rovnyak spaces",

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AU - Loh, Anthony Wai keung

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N2 - Let b be a non-constant function in the unit ball of H∞. We characterize the universal interpolating sequences and the uniqueness sequences for the de Branges–Rovnyak space H(b) , a Hilbert space contractively contained in H2.

AB - Let b be a non-constant function in the unit ball of H∞. We characterize the universal interpolating sequences and the uniqueness sequences for the de Branges–Rovnyak space H(b) , a Hilbert space contractively contained in H2.

KW - Extreme points

KW - Uniqueness sequences

KW - Universal interpolating sequences

KW - de Branges–Rovnyak spaces

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Interpolating and uniqueness sequences for de Branges–Rovnyak spaces

Abstract

Keywords

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