The polynomial cluster value problem for Banach spaces

We reduce the polynomial cluster value problem for the algebra of bounded analytic functions, H ∞ , on the ball of Banach spaces X to the same polynomial cluster value problem for H ∞ but on the ball of those spaces which are `1 -sums of finite dimensional spaces.

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Publication Details

Journal
Extracta Mathematicae
Published
2025-12-17
DOI
https://doi.org/10.17398/2605-5686.40.2.159
Primary Topic
Advanced Banach Space Theory
Type
article
Field-Weighted Citation Impact
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article

The polynomial cluster value problem for Banach spaces

Sofía Ortega Castillo, Isidro H. Munive
Extracta Mathematicae
Advanced Banach Space Theory
article

The polynomial cluster value problem for Banach spaces

Sofía Ortega Castillo, Isidro H. Munive
article en

Abstract

We reduce the polynomial cluster value problem for the algebra of bounded analytic functions, H ∞ , on the ball of Banach spaces X to the same polynomial cluster value problem for H ∞ but on the ball of those spaces which are `1 -sums of finite dimensional spaces.

Extracta MathematicaeVol. 40(2)
Universidad de Guadalajara (MX)
Openalex Percentile: Top 55%
Advanced Banach Space Theory
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The polynomial cluster value problem for Banach spaces — Sofía Ortega Castillo, Isidro H. Munive · Extracta Mathematicae (2025) | TGRS Research Map | TGRS