3 citations · 3 across the 1 of their papers we have counts for
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A note on lineability
G. Botelho, D. Diniz, D. Pellegrino +1
In this note we answer a question concerning lineability of the set of non-absolutely summing operators.
Factorization theorems for dominated polynomials
Geraldo Botelho, Daniel Pellegrino, Pilar Rueda
In this note we prove that the factorization theorem for dominated polynomials previously proved by the authors is equivalent to an alternative factorization scheme that uses class…
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…
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…