On the Three-Space Property for Subprojective and Superprojective Banach Spaces

被引：0

作者：

Gonzalez, Manuel ^{[1
]}

Pello, Javier ^{[2
]}

机构：

[1] Univ Cantabria, Fac Ciencias, Santander 39071, Spain

[2] Univ Rey Juan Carlos, Escuela Super Ciencias Expt & Tecnol, Mostoles 28933, Spain

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2025年 / 22卷 / 02期

关键词：

Subprojective Banach space; superprojective Banach space; three-space property; PERTURBATION CLASSES; OPERATORS;

D O I：

10.1007/s00009-025-02815-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the notion of subprojective and superprojective operators and we use them to prove a variation of the three-space property for subprojective and superprojective spaces. As an application, we show that some spaces considered by Johnson and Lindenstrauss are both subprojective and superprojective.

引用

页数：11

共 39 条

[1] The perturbation classes problem for subprojective and superprojective Banach spaces
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[8] On local quasi-convexity as a three-space property in topological abelian groups
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[9] Three-space properties in paratopological groups
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[10] The (D) Property in Banach Spaces
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