<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>We introduce and investigate the injective hull of the strongly Lipschitz classical <italic>p</italic>-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 <italic>p</italic>-compact from the linear case to the Lipschitz case. Also, we introduce the ideal of Lipschitz unconditionally quasi <italic>p</italic>-nuclear operators between pointed metric spaces and show that it coincides with the Lipschitz injective hull of the ideal of Lipschitz classical <italic>p</italic>-compact operators.</p>
</abstract>

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.

The ideal of Lipschitz classical <italic>p</italic>-compact operators and its injective hull

Laboratory of Functional Analysis and Geometry of Spaces

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

The ideal of Lipschitz classical -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...

The ideal of Lipschitz classical p-compact operators and its injective hull

Published Online: Jan 13, 2022

Page range: 28 - 43

Received: Nov 06, 2020

Accepted: Apr 30, 2021

DOI: https://doi.org/10.2478/mjpaa-2022-0003

Keywords
Classical -compact operator, Lipschitz classical -compact operator, Lipschitz operator ideal, Lipschitz injective hull, Lipschitz unconditionally quasi -nuclear operator

© 2022 Toufik Tiaiba et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

The ideal of Lipschitz classical p-compact operators and its injective hull

Published Online: Jan 13, 2022

Page range: 28 - 43

Received: Nov 06, 2020

Accepted: Apr 30, 2021

DOI: https://doi.org/10.2478/mjpaa-2022-0003

KeywordsClassical -compact operator, Lipschitz classical -compact operator, Lipschitz operator ideal, Lipschitz injective hull, Lipschitz unconditionally quasi -nuclear operator

© 2022 Toufik Tiaiba et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Classical -compact operator, Lipschitz classical -compact operator, Lipschitz operator ideal, Lipschitz injective hull, Lipschitz unconditionally quasi -nuclear operator