A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions

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• 作者：Daniel Car ; o ; Domingo Garcí ; a ; Manuel Maestre ; Pablo Sevilla-Peris
• 关键词：Weighted space of holomorphic functions ; Fré ; chet algebra ; Analytic manifold structure ; Symmetrically regular Banach space
• 刊名：Topology
• 出版年：2009
• 出版时间：June-December 2009
• 年：2009
• 卷：48
• 期：2-4
• 页码：54-65
• 全文大小：730 K

文摘

In this paper we give general conditions on a countable family V of weights on an unbounded open set U in a complex Banach space X such that the weighted space HV(U) of holomorphic functions on U has a Fréchet algebra structure. For such weights it is shown that the spectrum of HV(U) has a natural analytic manifold structure when X is a symmetrically regular Banach space, and in particular when .