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math.FA2018
On the Maurey--Pisier and Dvoretzky--Rogers theorems
Gustavo Araújo, Joedson Santos
A famous theorem due to Maurey and Pisier asserts that for an infinite dimensional Banach space , the infumum of the such that the identity map is absolutely $\left…
math.FA2018
Universal bounds for the Hardy--Littlewood inequalities on multilinear forms
Gustavo Araújo, Kleber Câmara
The Hardy--Littlewood inequalities for multilinear forms on sequence spaces state that for all positive integers and all -linear forms $T:\ell_{p_{1}}^{n}\times\cdots…