The ideal of Lipschitz classical p-compact operators and its injective hull
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 line...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Sciendo
2022-01-01
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Series: | Moroccan Journal of Pure and Applied Analysis |
Subjects: | |
Online Access: | https://doi.org/10.2478/mjpaa-2022-0003 |
Summary: | 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. |
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ISSN: | 2351-8227 |