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http://hdl.handle.net/10662/15701
| Títulos: | Topological characterization of weakly compact operators revisited |
| Autores/as: | Peralta, Antonio M. |
| Palabras clave: | Operador débilmente compacto;Topología derecha;Topología Mackey;Propiedad (V);Weakly compact operator;Right topology;Mackey topology;Property (V) |
| Fecha de publicación: | 2007 |
| Editor/a: | Universidad de Extremadura, Servicio de Publicaciones |
| Resumen: | In this note we revise and survey some recent results established in [8]. We shall show that for each Banach space 𝑋, there exists a locally convex topology for 𝑋, termed the “Right Topology”, such that a linear map 𝑇, from 𝑋 into a Banach space 𝑌, is weakly compact, precisely when 𝑇 is a continuous map from 𝑋, equipped with the “Right” topology, into 𝑌 equipped with the norm topology. We provide here a new and shorter proof of this result. We shall also survey the results concerning sequentially Right-to-norm continuous operators. |
| URI: | http://hdl.handle.net/10662/15701 |
| ISSN: | 0213-8743 |
| Colección: | Extracta Mathematicae Vol. 22, nº 2 (2007) |
Archivos
| Archivo | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| 2605-5686_22_2_215.pdf | 159,7 kB | Adobe PDF | Descargar |
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