4 papers · 1 filter
A new criterion for the normalized Haar measure to be a Pietsch measure
Alexandre Bispo, Renato Macedo, Joedson Santos
In this paper we present a new criterion to determine when the normalized Haar measure on a compact topological group is a Pietsch measure for nonlinear summing mappings. As a cons…
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…
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…