INVESTIGADORES
MURO Luis Santiago Miguel
artículos
Título:
On algebras of holomorphic functions of a given type
Autor/es:
MURO, SANTIAGO
Revista:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Año: 2012 vol. 389 p. 792 - 811
ISSN:
0022-247X
Resumen:
We show that several spaces of holomorphic functions on a Riemann domain over a Banach space, including the nuclear and Hilbert-Schmidt bounded type, are locally $m$-convex Fr´echet algebras. We prove that the spectrum of these algebras has a natural analytic structure, which we use to characterize the envelope of holomorphy. We also show a Cartan-Thullen type theorem.
