On the Banach-Stone theorem for algebras of holomorphic germs

被引：2

作者：

Garcia, Domingo ^{[1
]}

Maestre, Manuel ^{[1
]}

Vieira, Daniela M. ^{[2
]}

机构：

[1] Univ Valencia, Dept Anal Matemat, Doctor Moliner 50, E-46100 Valencia, Spain

[2] Univ Sao Paulo, Dept Matemat, Rua Matao 1010, BR-05508090 Sao Paulo, Brazil

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2017年 / 111卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

Holomorphic germs; Holomorphic functions; Algebras; Banach spaces; ANALYTIC-FUNCTIONS; HOMOMORPHISMS; EXTENSION;

D O I：

10.1007/s13398-016-0289-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given two balanced compact subsets K and L of two Banach spaces X and Y respectively such that every continuous m-homogeneous polynomial on and on is approximable, for all , we characterize when the algebras of holomorphic germs and are topologically algebra isomorphic. This happens if and only if the polynomial hulls of K and L on their respective biduals are biholomorphically equivalent.

引用

页码：223 / 230

页数：8

共 21 条

[1] A REFLEXIVE SPACE OF HOLOMORPHIC-FUNCTIONS IN INFINITELY MANY VARIABLES [J].