Advanced search
Start date
Betweenand
Related content
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

THE ALGEBRA OF BOUNDED-TYPE HOLOMORPHIC FUNCTIONS ON THE BALL

Full text
Author(s):
Carando, Daniel [1, 2] ; Muro, Santiago [1, 3] ; Vieira, Daniela M. [4]
Total Authors: 3
Affiliation:
[1] Univ Buenos Aires, Fac Cs Exactas & Nat, Dept Matemat, Buenos Aires, DF - Argentina
[2] IMAS UBA CONICET, Buenos Aires, DF - Argentina
[3] CIFASIS CONICET, Rosario, Santa Fe - Argentina
[4] Univ Sao Paulo, Inst Matemat & Estat, Dept Matemat, Sao Paulo, SP - Brazil
Total Affiliations: 4
Document type: Journal article
Source: Proceedings of the American Mathematical Society; v. 148, n. 6, p. 2447-2457, JUN 2020.
Web of Science Citations: 0
Abstract

We study the spectrum Mb(U) of the algebra of bounded-type holomorphic functions on a complete Reinhardt domain in a symmetrically regular Banach space E as an analytic manifold over the bidual of the space. In the case that U is the unit ball of l(p), 1 < p < 8, we prove that each connected component of M-b(B-lp) naturally identifies with a ball of a certain radius. We also provide estimates for this radius and in many natural cases we have the precise value. As a consequence, we obtain that for connected components different from that of evaluations, these radii are strictly smaller than one, and can be arbitrarily small. We also show that for other Banach sequence spaces, connected components do not necessarily identify with balls. (AU)

FAPESP's process: 14/07373-0 - Extensions of holomorphic functions of bounded type on Banach Spaces
Grantee:Daniela Mariz Silva Vieira
Support Opportunities: Scholarships abroad - Research