<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we introduce the notion of (<italic>q</italic>, <italic>p</italic>)-mixing operators from the injective tensor product space <italic>E</italic> ̂⊗<sub>∈</sub><italic>F</italic> into a Banach space <italic>G</italic> which we call (<italic>q</italic>, <italic>p</italic>, <italic>F</italic>)-mixing. In particular, we extend the notion of (<italic>q</italic>, <italic>p</italic>, <italic>E</italic>)-summing operators which is a special case of (<italic>q</italic>, <italic>p</italic>, <italic>F</italic>)-mixing operators to Lipschitz case by studying their properties and showing some results for this notion.</p></abstract>

In this paper, we introduce the notion of (q, p)-mixing operators from the injective tensor product space E ̂⊗∈F into a Banach space G which we call (q, p, F)-mixing. In particular, we extend the notion of (q, p, E)-summing operators which is a special case of (q, p, F)-mixing operators to Lipschitz case by studying their properties and showing some results for this notion.

Lipschitz (<italic>q</italic>, <italic>p</italic>, <italic>E</italic>)-summing operators on injective Lipschitz tensor products of spaces

Laboratoire d’Analyse Fonctionnelle et G´eom´etrie des Espaces

Moroccan Journal of Pure and Applied Analysis

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

Lipschitz (, , )-summing operators on injective Lipschitz tensor products of spaces

In this paper, we introduce the notion of (q, p)-mixing operators from the injective tensor product space E ̂⊗∈F into a Banach space G which we call (q, p,...

Lipschitz (q, p, E)-summing operators on injective Lipschitz tensor products of spaces

Publié en ligne: 29 mai 2020

Pages: 127 - 142

Reçu: 23 févr. 2020

Accepté: 06 mai 2020

DOI: https://doi.org/10.2478/mjpaa-2020-0010

Mots clés
()-mixing, Lipschitz operators, Lipschitz -summing operators, Lipschitz ()-summing

© 2020 Abdelhamid Tallab, published by Sciendo

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

Lipschitz (q, p, E)-summing operators on injective Lipschitz tensor products of spaces

Publié en ligne: 29 mai 2020

Pages: 127 - 142

Reçu: 23 févr. 2020

Accepté: 06 mai 2020

DOI: https://doi.org/10.2478/mjpaa-2020-0010

Mots clés()-mixing, Lipschitz operators, Lipschitz -summing operators, Lipschitz ()-summing

© 2020 Abdelhamid Tallab, published by Sciendo

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

Mots clés
()-mixing, Lipschitz operators, Lipschitz -summing operators, Lipschitz ()-summing