The polynomial cluster value problem
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Publication:1706554
DOI10.1016/j.jmaa.2018.01.055zbMath1396.46036arXiv1702.06471OpenAlexW2963202269MaRDI QIDQ1706554
Ángeles Prieto, Sofía Ortega Castillo
Publication date: 22 March 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.06471
Infinite-dimensional holomorphy (46G20) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Banach algebra techniques applied to functions of several complex variables (32A65)
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A look into homomorphisms between uniform algebras over a Hilbert space ⋮ Holomorphic functions with large cluster sets
Cites Work
- Cluster values of analytic functions on a Banach space
- The cluster value problem for Banach spaces
- Holomorphically convex sets in several complex variables
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- Iversen's theorem and fiber algebras
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- A Theorem on Polynomial-Star Approximation
- Regularity and Algebras of Analytic Functions in Infinite Dimensions
- The cluster value problem in spaces of continuous functions
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