Few operators on Banach spaces C0(L × L)
Using Ostaszewski's ♣-principle, we construct a non-metrizable, locally compact, scattered space L in which the operators on the Banach space C 0 ( L × L ) exhibit a remarkably simple structure. We provide a detailed analysis and, through a series of decomposition steps, offer an explicit characterization of all operators on C 0 ( L × L ) .
Authors
- Leandro Candido (ORCID: https://orcid.org/0000-0002-6429-3899)
Institutions
- Federal Institute of São Paulo (BR)
- Departamento de Ciência e Tecnologia (BR)
- Universidade Federal de São Paulo (BR)
Publication Details
- Journal
- Topology and its Applications
- Published
- 2025-09-09
- DOI
- https://doi.org/10.1016/j.topol.2025.109577
- Citations
- 2
- Primary Topic
- Advanced Banach Space Theory
- Type
- article
- Field-Weighted Citation Impact
- 7.38