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arXiv · 1602.03363

An index of summability for pairs of Banach spaces

M. Maia·D. Pellegrino·J. Santos
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Abstract

We introduce the notion of index of summability for pairs of Banach spaces; for Banach spaces E; F, this index plays the role of a kind of measure of how the m-homogeneous polynomials from E to F are far from being absolutely summing. In some cases the optimal index of summability is computed.

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M. Maia, D. Pellegrino, J. Santos. 2016-02-10. An index of summability for pairs of Banach spaces. https://arxiv.org/abs/1602.03363

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