On the Three-Space Property for Subprojective and Superprojective Banach Spaces
Abstract 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.
Authors
- Manuel González (ORCID: https://orcid.org/0000-0003-0114-3153)
- Javier Pello
Institutions
- Universidad de Cantabria (ES)
- Universidad Rey Juan Carlos (ES)
Publication Details
- Journal
- Mediterranean Journal of Mathematics
- Published
- 2025-03-01
- DOI
- https://doi.org/10.1007/s00009-025-02815-4
- Citations
- 1
- Primary Topic
- Advanced Banach Space Theory
- Type
- article
- Field-Weighted Citation Impact
- 3.69
Funders
- Ministerio de Ciencia e Innovación
- Universidad de Cantabria