Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899940 | Journal of Mathematical Analysis and Applications | 2018 | 12 Pages |
Abstract
The polynomial cluster value problem replaces the role of the continuous linear functionals in the original cluster value problem for the continuous polynomials to describe the corresponding cluster sets and fibers. We prove several polynomial cluster value theorems for uniform algebras H(B) between Au(B) and Hâ(B), where B is the open unit ball of a complex Banach space X. We also obtain new results about the original cluster value problem, especially for Aâ(B). Examples of spaces X considered here are spaces of continuous functions, â1 and locally uniformly convex spaces.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
SofÃa Ortega Castillo, Ángeles Prieto,