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A Montel-type theorem for Hardy spaces of holomorphic functions
Tomás Fernández Vidal, Daniel Galicer, Pablo Sevilla-Peris
We give a version of the Montel theorem for Hardy spaces of holomorphic functions on an infinite dimensional space. As a by-product, we provide a Montel-type theorem for the Hardy…
Hardy space of translated Dirichlet series
Tomás Fernández Vidal, Daniel Galicer, Martín Mereb +1
We study the Hardy space of translated Dirichlet series . It consists on those Dirichlet series such that for some (equivalently, every) $1 \leq…
The polarization constant of finite dimensional complex spaces is one
Verónica Dimant, Daniel Galicer, Jorge Tomás Rodríguez
The polarization constant of a Banach space is defined as where stands fo…
Operator -compact mappings
Javier Alejandro Chávez-Domínguez, Verónica Dimant, Daniel Galicer
We introduce the class of operator -compact mappings and completely right -nuclear operators, which are natural extensions to the operator space framework of their correspond…
Cluster values for algebras of analytic functions
Daniel Carando, Daniel Galicer, Santiago Muro +1
The Cluster Value Theorem is known for being a weak version of the classical Corona Theorem. Given a Banach space , we study the Cluster Value Problem for the ball algebra $A_u(…
Asymptotic estimates on the von Neumann inequality for homogeneous polynomials
Daniel Galicer, Santiago Muro, Pablo Sevilla-Peris
By the von Neumann inequality for homogeneous polynomials there exists a positive constant such that for every -homogeneous polynomial in variables and ever…