On the continuity of the semivariation in locally convex spaces
On the control measures of vector measures.
Si Σ es una σ-álgebra y X un espacio localmente convexo se estudian las condiciones para las cuales una medida vectorial σ-aditiva γ : Σ → χ tenga una medida de control μ. Si Σ es la σ-álgebra de Borel de un espacio métrico, se obtienen condiciones necesarias y suficientes usando la τ aditividad de γ. También se dan estos resultados para las polimedidas.
On the Convenient Setting for Real Analytic Mappings.
On the CR-structure of certain linear group orbits in infinite dimensions
For large classes of complex Banach spaces (mainly operator spaces) we consider orbits of finite rank elements under the group of linear isometries. These are (in general) real-analytic submanifolds of infinite dimension but of finite CR-codimension. We compute the polynomial convex hull of such orbits explicitly and show as main result that every continuous CR-function on has a unique extension to the polynomial convex hull which is holomorphic in a certain sense. This generalizes to infinite...
On the dependence of the orthogonal projector on deformations of the scalar product
We consider scalar products on a given Hilbert space parametrized by bounded positive and invertible operators defined on this space, and orthogonal projectors onto a fixed closed subspace of the initial Hilbert space corresponding to these scalar products. We show that the projector is an analytic function of the scalar product, we give the explicit formula for its Taylor expansion, and we prove some algebraic formulas for projectors.
On the differentiability of Lipschitz mappings in Fréchet spaces
On the differentiability of multivalued mappings. I.
On the differentiability of multivalued mappings. II.
On the differentiation of convex functions
On the differentiation of convex functions in finite and infinite dimensional spaces
On the distinguishing features of the Dobrakov integral.
On the dual space .
On the dual space of
On the Dunford-Pettis property
On the embedding theorem
On the evaluation of one-loop Feynman amplitudes in euclidean quantum field theory
On the extension of holomorphic functions on a locally convex space
On the extension of holomorphic maps on locally convex spaces with values in Fréchet spaces
On the extension of holomorphic maps with values in a complex Lie group
On the extension of positive operators