Projections in the J-sums of Banach spaces

被引：1
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：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2024年 / 118卷 / 04期
关键词：
Projections; Complemented Banach space; J-sum of Banach spaces; PERTURBATION CLASSES; OPERATORS;
D O I：
10.1007/s13398-024-01654-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study some families of projections in the J-sums of Banach spaces J(Phi) and J<^>(Phi) introduced by Bellenot. As an application, we show that, under some conditions, J(Phi) and J<^>(Phi) are subprojective, i.e., every closed infinite-dimensional subspace of either of them contains a complemented infinite-dimensional subspace.
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页数：13
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