Convolution operators on the space of holomorphic germs of nuclear type
Copies of lp in tensor products.
The problem of finding complemented copies of lp in another space is a classical problem in Functional Analysis and has been studied from different points of view in the literature. Here we pay attention to complementation of lp in an n-fold tensor product of lq spaces because we were lead to that result in the study of Grothendieck's Problème des topologies as we shall comment later.
Correction to "On Malgrange Theorem for Nuclear Holomorphic Functions in Open Balls of a Banach Space".
Countable sets of holomorphic mappings
Counterexamples in Holomorphic Functions on Nuclear Fréchet Spaces.
Denseness of numerical radius attaining holomorphic functions.
Desarrollos asintóticos en espacios de Banach desde los conjuntos compactos.
Differentation under the integral sign and holomorphy.
Direct sums of Cartan factors
Distinguished preduals of spaces of holomorphic functions.
Domains which are locally uniformly linearly convex in the Kobayashi distance.
Doubly commuting submodules of the Hardy module over polydiscs
In this note we establish a vector-valued version of Beurling’s theorem (the Lax-Halmos theorem) for the polydisc. As an application of the main result, we provide necessary and sufficient conditions for the “weak” completion problem in .
Dualidad y extensiones en holomorfía infinita
ELB holomorphic factorization over projective limit representations
Embeddings of Fréchet spaces in uniform Fréchet algebras
Entire functions on locally convex spaces and convolution operators
Entire functions on nuclear sequence spaces.
Entire functions uniformly bounded on balls of a Banach space
Let X be an infinite-dimensional complex Banach space. Very recently, several results on the existence of entire functions on X bounded on a given ball B₁ ⊂ X and unbounded on another given ball B₂ ⊂ X have been obtained. In this paper we consider the problem of finding entire functions which are uniformly bounded on a collection of balls and unbounded on the balls of some other collection.
Errata to the article "Classificação polinomial de espaços localmente convexos" (Port. Math., 38(1-2) (1979), 59-102)
Errata to the article "On holomorphy in Banach spaces and absolute convergence of Fourier series" (Port. Math., 45(4) (1988), 429-450)