Artículos de revistas
Cluster values of holomorphic functions of bounded type
Fecha
2016-04Registro en:
Aron, Richard Martin; Carando, Daniel Germán; Lassalle, Silvia Beatriz; Maestre, Manuel; Cluster values of holomorphic functions of bounded type; American Mathematical Society; Transactions Of The American Mathematical Society; 368; 4; 4-2016; 2355-2363
0002-9947
CONICET Digital
CONICET
Autor
Aron, Richard Martin
Carando, Daniel Germán
Lassalle, Silvia Beatriz
Maestre, Manuel
Resumen
We study the cluster value theorem for Hb(X), the Fréchet algebra of holomorphic functions bounded on bounded sets of X. We also describe the (size of) fibers of the spectrum of Hb(X). Our results are rather complete whenever X has an unconditional shrinking basis and for X = ℓ1. As a byproduct, we obtain results on the spectrum of the algebra of all uniformly continuous holomorphic functions on the ball of ℓ1.