Cotype and absolutely summing linear operators (2009)
Botelho, Geraldo, Pellegrino, Daniel, Rueda, Pilar
Cotype is used in this paper to prove new results concerning the existence of non-absolutely summing linear operators between Banach spaces. We derive consequences that extend/generalize/ complement...
Norm optimization problem for linear operators in classical Banach spaces (2009)
Pellegrino, Daniel, Teixeira, Eduardo V.
The main result of the paper shows that, for 1
Factorization theorems for dominated polynomials (2008)
Botelho, Geraldo, Pellegrino, Daniel, Rueda, Pilar
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 classical linear...
A unified Pietsch domination theorem (2008)
Botelho, Geraldo, Pellegrino, Daniel, Rueda, Pilar
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 the ideal of...
Summability of multilinear mappings: Littlewood, Orlicz and beyond (2008)
Blasco, Oscar, Botelho, Geraldo, Pellegrino, Daniel, Rueda, Pilar
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. Among other...
Dominated polynomials on infinite dimensional spaces (2008)
Botelho, Geraldo, Pellegrino, Daniel, Rueda, Pilar
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 dimensional Banach spaces....
Coincidences for multiple summing mappings (2008)
Botelho, Geraldo, Pellegrino, Daniel
In this note we prove new coincidence results for multiple summing mappings, related to the cotypes of the Banach spaces involved.
Normal numbers from Steinhaus viewpoint (2008)
In this paper we recall a non-standard construction of the Borel sigma-algebra B in [0,1] and construct a family of measures (in particular, Lebesgue measure) in B by a completely non-topological...
When every multilinear mapping is multiple summing (2008)
Botelho, Geraldo, Pellegrino, Daniel
In this paper we give a systematized treatment to some coincidence situations for multiple summing multilinear mappings which extend, generalize and simplify the methods and results obtained thus...
Absolutely summing linear operators into spaces with no finite cotype (2008)
Botelho, Geraldo, Pellegrino, Daniel
Given an infinite-dimensional Banach space $X$ and a Banach space $Y$ with no finite cotype, we determine whether or not every continuous linear operator from $X$ to $Y$ is absolutely $(q;p)$-summing...
On scalar-valued nonlinear absolutely summing mappings (2003)
In this note we show that the well known coincidence results for scalar-valued homogeneous polynomials can not be generalized in some natural directions.