A Note on Generalized Approximation Property
| Autor: | Antara Bhar, Manjul Gupta |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Journal of Function Spaces and Applications, Vol 2013 (2013) |
| Druh dokumentu: | article |
| ISSN: | 0972-6802 1758-4965 |
| DOI: | 10.1155/2013/325141 |
| Popis: | We introduce a notion of generalized approximation property, which we refer to as --AP possessed by a Banach space , corresponding to an arbitrary Banach sequence space and a convex subset of , the class of bounded linear operators on . This property includes approximation property studied by Grothendieck, -approximation property considered by Sinha and Karn and Delgado et al., and also approximation property studied by Lissitsin et al. We characterize a Banach space having --AP with the help of -compact operators, -nuclear operators, and quasi--nuclear operators. A particular case for () has also been characterized. |
| Databáze: | Directory of Open Access Journals |
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