空间内射Lipschitz张量积上的Lipschitz (q, p, E)求和算子

Q3 Mathematics Moroccan Journal of Pure and Applied Analysis Pub Date : 2020-05-29 DOI:10.2478/mjpaa-2020-0010

A. Tallab

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引用次数: 0

摘要

摘要本文将(q, p)混合算子的概念从内射张量积空间E∈F引入到Banach空间G中，我们称之为(q, p, F)混合算子。特别地，我们通过研究(q, p, F)混合算子的性质，将(q, p, E)求和算子的概念推广到Lipschitz情况，这是(q, p, F)混合算子的一种特例。

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

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.

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