INVESTIGADORES
LASSALLE Silvia Beatriz
artículos
Título:
Cluster values of holomorphic functions of bounded type
Autor/es:
ARON, RICHARD; CARANDO, DANIEL; LASSALLE, SILVIA; MAESTRE, MANUEL
Revista:
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Editorial:
AMER MATHEMATICAL SOC
Referencias:
Lugar: Providence; Año: 2016 vol. 368 p. 2355 - 2369
ISSN:
0002-9947
Resumen:
We study the cluster value theorem for $H_b(X)$, the Fr´{e}chet algebra of holomorphic functions bounded on bounded sets of $X$. We also describe the (size of) fibers of the spectrum of $H_b(X)$. Our results are rather complete whenever $X$ has an unconditional shrinking basis and for $X=ell_1$. As a byproduct, we obtain results on the spectrum of the algebra of all uniformly continuous holomorphic functions on the ball of $ell_1$.
