3 citations · 4 across the 2 of their papers we have counts for
4 papers · 1 filter
Coherence and compatibility: a stronger approach
Joilson Ribeiro, Fabrício Santos, Ewerton Torres
In this work we present a definition for coherence and compatibility of multilinear mappings and homogenous polynomial classes. These definitions are more restricted than the ones…
Polynomial ideals from a nonlinear viewpoint
Geraldo Botelho, Ewerton R. Torres
Classes of homogeneous polynomials between Banach spaces have been studied in the last three decades from the perspective of the so-called ideal property: if a polynomial P belongs…
Constructing hyper-ideals of multilinear operators between Banach spaces
Geraldo Botelho, Ewerton R. Torres
In view of the fact that some classical methods to construct multi-ideals fail in constructing hyper-ideals, in this paper we develop two new methods to construct hyper-ideals of m…
Hyper-ideals of multilinear operators
Geraldo Botelho, Ewerton R. Torres
We introduce and develop the notion of hyper-ideals of multilinear operators between Banach spaces. While the well studied notion of ideals of multilinear operators (multi-ideals)…