| Texto completo | |
| Autor(es): |
Luiz, Jose Lucas P.
;
Miranda, Vinicius C. C.
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of Mathematical Analysis and Applications; v. 558, n. 2, p. 13-pg., 2026-06-15. |
| Resumo | |
In this paper we study the norm-attainment of positive operators between Banach lattices. By considering an absolute version of James boundaries, we prove that: If E is a reflexive Banach lattice whose order is given by a basis and F is a Dedekind complete Banach lattice, then every positive operator from E to F is compact if and only if every positive operator from E to F attains its norm. An analogue result considering that E is reflexive and the order in F is continuous and given by a basis was proven. We applied our result to study a positive version of the weak maximizing property. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies. (AU) | |
| Processo FAPESP: | 23/12916-1 - Geometria de espaços de Banach |
| Beneficiário: | Valentin Raphael Henri Ferenczi |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |