Estimating the index of summability of pairs of Banach spaces

2016/07/21 by Maia, M., Santos, J.
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1607.06279

Abstract

Let E₁,...,E_m,F be Banach spaces. The index of summability of (E₁×⋯× E_m,F) is a kind of measure of how far the m-linear operators T:E₁×⋯× E_m→ 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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