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math.FA2008
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…
math.FA2008
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…
math.FA2008★ 1 cited
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…