5 citations · 5 across the 14 of their papers we have counts for
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Almost norming vertices for homogeneous polynomials on the cube
Damián Pinasco, Ignacio Zalduendo
Let be fixed. We consider the space of real -homogeneous polynomials on , endowed with the standard Gaussian measure $γ_{m,n…
The weak maximizing property, compact perturbations and duality
Domingo García, Manuel Maestre, Damián Pinasco +1
We construct a one-parameter family of real reflexive Banach spaces, isomorphic to and satisfying , such that $(X_c,…
Bang vectors in the real polarization problem: The exact dimensional range
Damián Pinasco
We determine the exact dimensional range in which a normalized longest signed sum, which we call a Bang vector, always satisfies the real polarization inequality: this prescription…
Strong Polarization and Entropy
Daniel Galicer, Oscar Ortega-Moreno, Damián Pinasco
We show that for any set of unit vectors in a real Hilbert space and positive numbers satisfying , there exists a unit vector…
On the th linear polarization constant of
Damian Pinasco
We prove that given any set of unit vectors the inequality \[ \sup\limits_{\Vert x \Vert_{\mathbb R^n} =1} \vert \langle x, v_1 \rangle…
On the linear polarization constants of finite dimensional spaces
Daniel Carando, Damián Pinasco, Jorge Tomás Rodríguez
We study the linear polarization constants of finite dimensional Banach spaces. We obtain the correct asymptotic behaviour of these constants for the spaces : they behave…
Non-linear Plank Problems and polynomial inequalities
Daniel Carando, Damian Pinasco, Jorge Tomás Rodríguez
We study lower bounds for the norm of the product of polynomials and their applications to the so called \emph{plank problem.} We are particularly interested in polynomials on fini…
Hypercyclic behavior of some non-convolution operators on
Santiago Muro, Damián Pinasco, Martín Savransky
We study hypercyclicity properties of a family of non-convolution operators defined on spaces of holomorphic functions on . These operators are a composition of a dif…
An integral formula for multiple summing norms of operators
Daniel Carando, Verónica Dimant, Santiago Muro +1
We prove that the multiple summing norm of multilinear operators defined on some -dimensional real or complex vector spaces with the -norm may be written as an integral with…
Strongly mixing convolution operators on Fréchet spaces of holomorphic functions
Santiago Muro, Damián Pinasco, Martín Savransky
A theorem of Godefroy and Shapiro states that non-trivial convolution operators on the space of entire functions on are hypercyclic. Moreover, it was shown by Bonill…
Lower bounds for norms of products of polynomials on spaces
Daniel Carando, Damian Pinasco, Jorge Tomás Rodríguez
For we obtain sharp inequalities for the supremum of products of homogeneous polynomials on , whenever the number of factors is no greater than the dimension of t…