RT Journal Article
T1 The polynomial cluster value problem
A1 Prieto, Angeles
A1 Ortega, Sofia
AB 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 A(u)(B) and H-infinity (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 A(infinity) (B). Examples of spaces X considered here are spaces of continuous functions, l(1) and locally uniformly convex spaces. (C) 2018 Elsevier Inc. All rights reserved.
PB Elsevier
SN 0022-247X
YR 2018
FD 2018-05-15
LK https://hdl.handle.net/20.500.14352/12006
UL https://hdl.handle.net/20.500.14352/12006
LA eng
NO Ministerio de Economía y Competitividad (MINECO)
DS Docta Complutense
RD 27 abr 2025