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An integral formula for multiple summing norms of operators

Abstract

We prove that the multiple summing norm of multilinear operators defined on some nn-dimensional real or complex vector spaces with the pp-norm may be written as an integral with respect to stables measures. As an application we show inclusion and coincidence results for multiple summing mappings. We also present some contraction properties and compute or estimate the limit orders of this class of operators.Comment: 19 page

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