Tangent sets and differentiable functions
Teorema de existencia y representación integral del producto tensorial de medidas vectoriales
The algebra of polynomials on the space of ultradifferentiable functions
We consider the space of ultradifferentiable functions with compact supports and the space of polynomials on . A description of the space of polynomial ultradistributions as a locally convex direct sum is given.
The barrelled topology associated with the compact-open topology on H(U) and H(K)
The Bessaga-Pelczynski Property and Strongly Bounded Measures
The bidual of a tensor product of Banach spaces.
This paper studies the relationship between the bidual of the (projective) tensor product of Banach spaces and the tensor product of their biduals.
The bidual of the space of polynomials on a Banach space.
The Bishop-Phelps theorem and the RNP
The Bochner and the monotone integrals with respect to a nuclear-valued finitely additive measure
The Bochner-Kolmogorov extension theorem for semispectral measures
The bounded approximation property for the predual of the space of bounded holomorphic mappings
When U is the open unit ball of a separable Banach space E, we show that , the predual of the space of bounded holomorphic mappings on U, has the bounded approximation property if and only if E has the bounded approximation property.
The bounded approximation property for weakly uniformly continuous type holomorphic mappings.
The category of disintegration
The Cauchy-Riemann equations in infinite dimensions
I will explain basic concepts/problems of complex analysis in infinite dimensions, and survey the few approaches that are available to solve those problems.
The Cauchy-Riemann operator in infinite dimensional spaces.
The Daugavet equation for polynomials
We study when the Daugavet equation is satisfied for weakly compact polynomials on a Banach space X, i.e. when the equality ||Id + P|| = 1 + ||P|| is satisfied for all weakly compact polynomials P: X → X. We show that this is the case when X = C(K), the real or complex space of continuous functions on a compact space K without isolated points. We also study the alternative Daugavet equation for polynomials P: X → X. We show that this equation holds for every polynomial on the complex space X =...
The density property for JB*-triples
We obtain conditions on a JB*-algebra X so that the canonical embedding of X into its associated quasi-invertible manifold has dense range. We prove that if a JB* has this density property then the quasi-invertible manifold is homogeneous for biholomorphic mappings. Explicit formulae for the biholomorphic mappings are also given.
The dual of every Asplund space admits a projectional resolution of the identity
The Ekeland's variational principle for vector-valued multifunctions.
The existence of angular derivatives of holomorphic maps of Siegel domains in a generalization of -algebras
The aim of this paper is to start a systematic investigation of the existence of angular limits and angular derivatives of holomorphic maps of infinite dimensional Siegel domains in -algebras. Since -algebras are natural generalizations of -algebras, -algebras, -algebras, ternary algebras and complex Hilbert spaces, various significant results follow. Examples are given.