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

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Date

2020-05

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Université de M'sila

Abstract

Abstract. In this paper, we introduce the notion of (q, p)-mixing operators from the injective tensor product space Eb eF 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.

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(q, p, F)-mixing, Lipschitz operators, Lipschitz p-summing operators, Lipschitz (q, p, E)-summing.

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