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

<p>The aim of this paper is to give some new characterizations of strictly Lipschitz <italic>p</italic>-summing operators. These operators have been introduced in order to improve the Lipschitz <italic>p</italic>-summing operators. Therefore, we adapt this definition for constructing other classes of Lipschitz mappings which are called strictly Lipschitz <italic>p</italic>-nuclear and strictly Lipschitz (<italic>p</italic>, <italic>r</italic>, <italic>s</italic>)-summing operators. Some interesting properties and factorization results are obtained for these new classes.</p>
</abstract>

The aim of this paper is to give some new characterizations of strictly Lipschitz p-summing operators. These operators have been introduced in order to improve the Lipschitz p-summing operators. Therefore, we adapt this definition for constructing other classes of Lipschitz mappings which are called strictly Lipschitz p-nuclear and strictly Lipschitz (p, r, s)-summing operators. Some interesting properties and factorization results are obtained for these new classes.

Further results on strictly Lipschitz summing operators

Laboratoire d’Analyse Fonctionnelle et Géométrie des Espaces

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Further results on strictly Lipschitz summing operators"}

The aim of this paper is to give some new characterizations of strictly Lipschitz p-summing operators. These operators have been introduced in order to improve...

Further results on strictly Lipschitz summing operators

Published Online: May 28, 2022

Page range: 191 - 211

Received: Jun 14, 2021

Accepted: Feb 07, 2022

DOI: https://doi.org/10.2478/mjpaa-2022-0014

Keywords
Strictly Lipschitz -summing, M-Strictly Lipschitz -summing, Lipschitz -summing operators, Strictly Lipschitz -nuclear, Strictly Lipschitz ()-summing operators, -summing operators, Strongly -summing operators, Pietsch factorization, Factorization theorems

© 2022 Maatougui Belaala et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Further results on strictly Lipschitz summing operators

Published Online: May 28, 2022

Page range: 191 - 211

Received: Jun 14, 2021

Accepted: Feb 07, 2022

DOI: https://doi.org/10.2478/mjpaa-2022-0014

KeywordsStrictly Lipschitz -summing, M-Strictly Lipschitz -summing, Lipschitz -summing operators, Strictly Lipschitz -nuclear, Strictly Lipschitz ()-summing operators, -summing operators, Strongly -summing operators, Pietsch factorization, Factorization theorems

© 2022 Maatougui Belaala et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Strictly Lipschitz -summing, M-Strictly Lipschitz -summing, Lipschitz -summing operators, Strictly Lipschitz -nuclear, Strictly Lipschitz ()-summing operators, -summing operators, Strongly -summing operators, Pietsch factorization, Factorization theorems