On the three-space property for subprojective and superprojective banach spaces

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 superpr...

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Detalles Bibliográficos
Autores: González Ortiz, Manuel, Pello García, Javier
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/36211
Acceso en línea:https://hdl.handle.net/10902/36211
Access Level:acceso abierto
Palabra clave:Subprojective Banach space
Superprojective Banach space
Three-space property
Descripción
Sumario: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.