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Journal of Functional Analysis
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Journal of Functional Analysis
Article . 1999
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Geometric Properties of Projections of Reproducing Kernels onz*-Invariant Subspaces ofH2

Geometric properties of projections of reproducing kernels on \(z^*\)-invariant subspaces of \(H^2\)
Authors: Borisheva, Inna;

Geometric Properties of Projections of Reproducing Kernels onz*-Invariant Subspaces ofH2

Abstract

Let \(\Lambda = \{ \lambda_i\}\) be a sequence on the unit disc \({\mathcal D}\) of the complex plane satisfying the Blaschke condition. Let \(K(w,z)= 1/(1-\overline{w}z)\) be the reproducing kernel in the Hardy space \(H^2({\mathcal D})\) and consider the family \(K_{\Lambda}= \{ K(\lambda_{i}, \cdot)\}\). The author presents different results concerning with geometric properties of \(K_{\Lambda}\).

Keywords

complete family, reproducing kernel, Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, Schur's algorithm, Riesz bases, extreme point, unconditional basis, reproducing kernels, Schur-Nevanlinna coefficients, Blaschke condition, extreme points., Completeness problems, closure of a system of functions of one complex variable, minimal family, Analysis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Top 10%
Average
hybrid