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

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

Open Access
|May 2020

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.

Language: English
Page range: 127 - 142
Submitted on: Feb 23, 2020
Accepted on: May 6, 2020
Published on: May 29, 2020
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year

© 2020 Abdelhamid Tallab, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.