The ideal of Lipschitz classical p-compact operators and its injective hull
| Autor: | Toufik Tiaiba, Dahmane Achour |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
Numerical Analysis
Pure mathematics Control and Optimization Ideal (set theory) TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY Computer Science::Information Retrieval Applied Mathematics Mathematics::Metric Geometry Injective hull Compact operator Lipschitz continuity Analysis Mathematics |
| Zdroj: | Moroccan Journal of Pure and Applied Analysis. 8:28-43 |
| ISSN: | 2351-8227 |
| DOI: | 10.2478/mjpaa-2022-0003 |
| Popis: | We introduce and investigate the injective hull of the strongly Lipschitz classical p-compact operator ideal defined between a pointed metric space and a Banach space. As an application we extend some characterizations of the injective hull of the strongly Lipschitz classical p-compact from the linear case to the Lipschitz case. Also, we introduce the ideal of Lipschitz unconditionally quasi p-nuclear operators between pointed metric spaces and show that it coincides with the Lipschitz injective hull of the ideal of Lipschitz classical p-compact operators. |
| Databáze: | OpenAIRE |
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