[EN] We give a version of the Montel theorem for Hardy spaces of holomorphic functions on an infinite dimensional space. Precisely, we show that any bounded sequence of holomorphic functions in some Hardy space, has a ...
[EN] By the von Neumann inequality for homogeneous polynomials there exists a positive constant C-k,C-q(n) such that for every k-homogeneous polynomial p in n variables and every n-tuple of commuting operators (T-1, ..., ...
[EN] The Cluster Value Theorem is known for being a weak version of the classical Corona Theorem. Given a Banach space X, we study the Cluster Value Problem for the ball algebra A(u)(B-X), the Banach algebra of all uniformly ...
[EN] While the article was in publication process, we found a mistake in a key tool for the proof one of the main results. As a consequence, our result on the ball A(u)(B-X) algebra remains open. For the algebra H-b(X) we ...
[EN] We study the Hardy space of translated Dirichlet series H+. It consists on those Dirichlet series Sigma a(n)n(-s) such that for some (equivalently, every) 1 <= p < infinity, the translation Sigma a(n)n(-(s+ 1/sigma)) ...
[EN] We develop a novel decomposition of the monomials in order to study the set of monomial convergence for spaces of holomorphic functions over l(r) for 1 < r <= 2. For H-b. (l(r)), the space of entire functions of bounded ...