I-BOUNDED HOLOMORPHIC FUNCTIONS

被引：0
|
作者：
Aron, Richard M. [1 ]
Rueda, Pilar [2 ]
机构：
[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA
[2] Univ Valencia, Dept Anal Matemat, Burjassot 46100, Valencia, Spain
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2015年 / 16卷 / 12期
关键词：
Ideals of holomorphic mappings; Hadamard's formula; operator ideals; compact and p-compact holomorphic functions; MAPPINGS; OPERATORS; ADJOINTS; SPACES;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we undertake a study of the relationship between the behavior of an entire mapping between complex Banach spaces and its Taylor series expansion by means of ideals of operators. To accomplish this task we introduce the concept of radius of I-boundedness. We also provide a general procedure to construct ideals of holomorphic mappings.
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页码：2539 / 2551
页数：13
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