Projections in the J-sums of Banach spaces

• Manuel González ^[1] ; Javier Pello ^[2]
  1. [1] Universidad de Cantabria

     Universidad de Cantabria

     Santander, España

     
  2. [2] Universidad Rey Juan Carlos

     Universidad Rey Juan Carlos

     Madrid, España

     
• Localización: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM ), ISSN-e 1578-7303, Vol. 118, Nº. 4, 2024
• Idioma: inglés
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• Resumen

  • We study some families of projections in the J -sums of Banach spaces J () and Jˆ() introduced by Bellenot. As an application, we show that, under some conditions, J () and Jˆ() are subprojective, i.e., every closed infinite-dimensional subspace of either of them contains a complemented infinite-dimensional subspace