9 papers · 1 filter
An anisotropic summability and mixed sequences
Jamilson R. Campos, Renato Macedo, Joedson Santos
In this paper we define and study a vector-valued sequence space, called the space of anisotropic -summable sequences, that generalizes the classical space of -mix…
Unified Grothendieck's and Kwapień's theorems for multilinear operators
Daniel Núñez-Alarcón, Joedson Santos, Diana Serrano-Rodríguez
Kwapień's theorem asserts that every continuous linear operator from to is absolutely -summing for …
Some properties of almost summing operators
Renato Macedo, Joedson Santos
In this paper we extend the scope of three important results of the linear theory of absolutely summing operators. The first one was proved by Bu and Kranz in \cite{BK} and it asse…
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…