5 citations · 6 across the 6 of their papers we have counts for
6 papers · 1 filter
A unified Pietsch domination theorem
Geraldo Botelho, Daniel Pellegrino, Pilar Rueda
In this paper we prove an abstract version of Pietsch's domination theorem which unify a number of known Pietsch-type domination theorems for classes of mappings that generalize th…
New inclusion and coincidence theorems for summing multilinear mappings
G. Botelho, C. Michels, D. Pellegrino
In this paper we obtain new inclusion and coincidence theorems for absolutely or multiple summing multilinear mappings. In particular, we derive optimal coincidence theorems of Boh…
Uniform approximation on ideals of multilinear mappings
Geraldo Botelho, Pablo Galindo, Leonardo Pellegrini
For each ideal of multilinear mappings we explicitly construct a corresponding ideal such that multilinear forms in are exactly those which c…
Summability of multilinear mappings: Littlewood, Orlicz and beyond
Oscar Blasco, Geraldo Botelho, Daniel Pellegrino +1
In this paper we prove a plenty of new results concerning summabililty properties of multilinear mappings between Banach spaces, such as an extension of Littlewood's 4/3 Theorem. A…
Coincidences for multiple summing mappings
Geraldo Botelho, Daniel Pellegrino
In this note we prove new coincidence results for multiple summing mappings, related to the cotypes of the Banach spaces involved.
Lineability of summing sets of homogeneous polynomials
G. Botelho, M. C. Matos, D. Pellegrino
Given a continuous -homogeneous polynomial between Banach spaces and , in this paper we investigate some properties concerning…