Work

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

Year: 2025

Type: article

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.

Source: Mediterranean Journal of Mathematics

DOI: 10.1007/s00009-025-02815-4

Authors: Manuel González, Javier Pello

Institutions: Universidad de Cantabria, Universidad Rey Juan Carlos

Language: English

Topic: Advanced Banach Space Theory

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Ministerio de Ciencia e Innovación, Universidad de Cantabria