19 citations · 70 across the 31 of their papers we have counts for
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math.FA2013
On nonlinear absolutely summing maps
D. Pellegrino, J. B. Seoane-Sepulveda
It is shown that the ultimate version of the nonlinear Pietsch Domination Theorem remains true, even in a stronger presentation, if one of its hypotheses is removed. More precisely…
math.FA2013
Grothendieck's theorem for absolutely summing multilinear operators is optimal
Daniel Pellegrino, Juan B. Seoane-Sepulveda
Grothendieck's theorem asserts that every continuous linear operator from to is absolutely -summing. In this note we prove that the optima…
math.FA2013★ 3 cited
On the optimality of the hypercontractivity of the complex Bohnenblust--Hille inequality
J. R. Campos, G. A. Muñoz-Fernández, D. Pellegrino +1
The main motivation of this paper is the following open problem: Is the hypercontractivity of the \emph{complex} polynomial Bohnenblust--Hille inequality an optimal result? We show…