5 papers
Nonlinear variants of a theorem of Kwapień
Renato Macedo, Daniel Pellegrino, Joedson Santos
A famous result of S. Kwapień asserts that a linear operator from a Banach space to a Hilbert space is absolutely -summing whenever its adjoint is absolutely -summing for som…
A unified factorization theorem for Lipschitz summing operators
Geraldo Botelho, Mariana Maia, Daniel Pellegrino +1
We prove a general factorization theorem for Lipschitz summing operators in the context of metric spaces which recovers several linear and nonlinear factorization theorems that hav…
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…
Remarks on the Bohnenblust--Hille inequalities
Djair Paulino, Daniel Pellegrino, Joedson Santos
We revisit the Bohnenblust--Hille multilinear and polynomial inequalities and prove some new properties. Our main result is a multilinear version of a recent result on polynomials…
On the mixed -Littlewood inequalities and interpolation
Mariana Maia, Joedson Santos
It is well-known that the optimal constant of the bilinear Bohnenblust--Hille inequality (i.e., Littlewood's inequality) is obtained by interpolating the bilinear mixed $\lef…