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arXiv · 1607.06279

Estimating the index of summability of pairs of Banach spaces

M. Maia·J. Santos
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Abstract

Let $E_{1},...,E_{m},F$ be Banach spaces. The index of summability of $\left(E_{1}\times\cdots\times E_{m},F\right) $ is a kind of measure of how far the $m$-linear operators $T:E_{1}\times\cdots\times E_{m}\rightarrow F$ are from being multiple summing. In this paper we estimate the index of summability of several pairs of Banach spaces$.$

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M. Maia, J. Santos. 2016-07-21. Estimating the index of summability of pairs of Banach spaces. https://arxiv.org/abs/1607.06279

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