Holomorphic mappings associated to composition ideals of polynomials

被引：12

作者：

Aron, Richard ^{[1
]}

Botelho, Gerald ^{[2
]}

Pellegrino, Daniel ^{[3
]}

Rueda, Pilar ^{[4
]}

机构：

[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

[2] Univ Fed Uberlandia, Fac Matemat, BR-38400902 Uberlandia, MG, Brazil

[3] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba, Brazil

[4] Univ Valencia, Dept Anal Matemat, Burjasot Valencia 46100, Spain

来源：

RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2010年 / 21卷 / 03期

关键词：

Holomorphic mappings; polynomial ideals; INFINITE-DIMENSIONAL SPACES; APPROXIMATION PROPERTY; BANACH-SPACES; MULTILINEAR MAPPINGS; REFLEXIVITY;

D O I：

10.4171/RLM/571

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Many operator ideals I can be naturally associated to polynomial ideals d. In this paper we initiate a research program whose aim is to relate those holomorphic mappings f that admit factorizations f = u omicron g, where is u is an element of I and g is holomorphic, with those f whose derivative belongs to the associated composition polynomial ideal

引用

页码：261 / 274

页数：14

共 31 条

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