| Revue: | Proyecciones (Antofagasta) |
| Base de datos: | PERIÓDICA |
| Número de sistema: | 000406116 |
| ISSN: | 0716-0917 |
| Autores: | Swartz, Charles1 |
| Instituciones: | 1New Mexico State University, Mathematics Department, Las Cruces, Nuevo México. Estados Unidos de América |
| Año: | 2016 |
| Periodo: | Sep |
| Volumen: | 35 |
| Número: | 3 |
| Paginación: | 339-367 |
| País: | Chile |
| Idioma: | Inglés |
| Tipo de documento: | Artículo |
| Enfoque: | Analítico |
| Resumen en inglés | Let E,G be Hausdorff topological vector spaces and let F be a vector space. Assume there is a bilinear operator h·, ·i : E × F → G such that h·, yi : E → G is continuous for every y ∈ F. The triple E, F, G is called an abstract duality pair with respect to G or an abstract triple and is denoted by (E,F : G). If {Pj} is a sequence of continuous projections on E, then (E,F : G) is called an abstract triple with projections. Under appropriate gliding hump assumptions, a uniform bounded principle is established for bounded subsets of E and pointwise bounded subsets of F. Under additional gliding hump assumptions, uniform convergent results are established for series P∞ j=1 hPjx, yi when x varies over certain subsets of E and y varies over certain subsets of F. These results are used to establish uniform countable additivity results for bounded sets of indefinite vector valued integrals and bounded subsets of vector valued measures |
| Disciplinas: | Matemáticas |
| Palabras clave: | Matemáticas aplicadas, Matemáticas puras, Espacios de sucesiones, Espacios vectoriales topológicos, Sucesiones |
| Keyword: | Mathematics, Applied mathematics, Pure mathematics, Sequence spaces, Topological vector spaces, Sequences |
| Texte intégral: | Texto completo (Ver PDF) |
