Work

Few operators on Banach spaces C0(L × L)

Year: 2025

Type: article

Abstract: 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 ) .

Source: Topology and its Applications

DOI: 10.1016/j.topol.2025.109577

Author: Leandro Candido

Institution: Universidade Federal de São Paulo

Language: English

Topic: Advanced Banach Space Theory

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,920

Funder: Fundação de Amparo à Pesquisa do Estado de São Paulo