Una representación del espacio C (Ω,E).
Sobre el operador de extensión de Whitney y la representación de los espacios
Banach spaces whose bounded sets are bounding in the bidual.
Representación de los espacios
Compact homomorphisms between algebras of analytic functions
We prove that every weakly compact multiplicative linear continuous map from into is compact. We also give an example which shows that this is not generally true for uniform algebras. Finally, we characterize the spectra of compact composition operators acting on the uniform algebra , where is the open unit ball of an infinite-dimensional Banach space E.
Extension of multilinear mappings on Banach spaces
Integral holomorphic functions
We define the class of integral holomorphic functions over Banach spaces; these are functions admitting an integral representation akin to the Cauchy integral formula, and are related to integral polynomials. After studying various properties of these functions, Banach and Fréchet spaces of integral holomorphic functions are defined, and several aspects investigated: duality, Taylor series approximation, biduality and reflexivity.
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