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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…
Lineability of the set of bounded linear non-absolutely summing operators
G. Botelho, D. Diniz, D. Pellegrino
In this note we solve, except for extremely pathological cases, a question posed by Puglisi and Seoane-Sepulveda on the lineability of the set of bounded non-absolutely summing lin…
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…
Dominated polynomials on infinite dimensional spaces
Geraldo Botelho, Daniel Pellegrino, Pilar Rueda
The aim of this paper is to prove a stronger version of a conjecture on the existence of non-dominated scalar-valued m-homogeneous polynomials (m>=3) on arbitrary infinite dimensio…
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…