The polynomial cluster value problem for Banach spaces

Authors

  • Isidro H. Munive Lima Departamento de Matemáticas Centro Universitario de Ciencias Exactas e Ingenierı́as Universidad de Guadalajara. Blvd. Marcelino Garcı́a Barragán #1421, Esq. Calzada Olı́mpica, Guadalajara, 44430, Jalisco, México
  • Sofía Ortega Castillo Departamento de Matemáticas Centro Universitario de Ciencias Exactas e Ingenierı́as Universidad de Guadalajara. Blvd. Marcelino Garcı́a Barragán #1421, Esq. Calzada Olı́mpica, Guadalajara, 44430, Jalisco, México

DOI:

https://doi.org/10.17398/2605-5686.40.2.159

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.

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References

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Published

2025-12-17

Issue

Vol. 40 No. 2 (2025)

Section

Functional Analysis and Operator Theory

License

Copyright (c) 2025 The authors

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This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

How to Cite

The polynomial cluster value problem for Banach spaces. (2025). Extracta Mathematicae, 40(2), 159-172. https://doi.org/10.17398/2605-5686.40.2.159