Characterization of the minimal and maximal operator ideals associated to the tensor norm defined by a sequence space

被引：1

作者：

Molina, JAL ^{[1
]}

Rivera, MJ ^{[1
]}

机构：

[1] Univ Politecn Valencia, ETS Ingn Agronomos, Valencia 46072, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 295卷 / 02期

关键词：

integral operators; ultraproducts of spaces and maps;

D O I：

10.1016/j.jmaa.2004.02.053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize the minimal and maximal operator ideals associated, in the sense of Defant and Floret, to a wide class of tensor norms derived from a Banach sequence space. Our results are extensions of classical ones about tensor norms of Saphar [Studia Math. 38 (1972)71-100] and show the key role played by the structure of finite-dimensional subspaces in this kind of problems. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：418 / 434

页数：17

共 48 条

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