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

Tallab Abdelhamid

Moroccan Journal of Pure and Applied Analysis · 2020

doi:10.2478/mjpaa-2020-0010 (opens in a new tab)

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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.

Abstract licence: CC BY-NC-ND

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