Coherent sequences of polynomial ideals on Banach spaces

被引：38
|
作者：
Carando, Daniel [1 ]
Dimant, Veronica [2 ,3 ]
Muro, Santiago [1 ]
机构：
[1] Univ Buenos Aires, Fac Cs Exactas & Nat, Dept Matemat Pab 1, Buenos Aires, DF, Argentina
[2] Univ San Andres, Dept Matemat, Buenos Aires, DF, Argentina
[3] Consejo Nacl Invest Cient & Tecn, RA-1033 Buenos Aires, DF, Argentina
来源：
MATHEMATISCHE NACHRICHTEN | 2009年 / 282卷 / 08期
关键词：
Polynomial ideals; operator ideals; tensor norms; MULTILINEAR MAPPINGS; HOLOMORPHY TYPES;
D O I：
10.1002/mana.200610791
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article deals with the relationship between an operator ideal and its natural polynomial extensions. We define the concept of coherent sequence of polynomial ideals and also the notion of compatibility between polynomial and operator ideals. We study the stability of these properties for maximal and minimal hulls, adjoint and composition ideals. We also relate these concepts with conditions on the underlying tensor norms. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
引用
收藏
页码：1111 / 1133
页数：23
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