Holomorphy types for open subsets of a Banach space
An introduction to polynomials on Banach spaces.
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.
Linearity in non-linear problems.
Estudiamos algunas situaciones donde encontramos un problema que, a primera vista, parece no tener solución. Pero, de hecho, existe un subespacio vectorial grande de soluciones del mismo.
The Bornological Topology on the Space of Holomorphic Mappings on a Banach Space.
The range of vector valued holomorphic mappings
A Hahn-Banach extension theorem for analytic mappings
Analytic functions on c.
Weak continuity of mappings between spaces of compact operators
Factorization of Holomorphic Mappings in Infinite Dimensions.
Algebrability of the set of non-convergent Fourier series
We show that, given a set E ⊂ 𝕋 of measure zero, the set of continuous functions whose Fourier series expansion is divergent at any point t ∈ E is dense-algebrable, i.e. there exists an infinite-dimensional, infinitely generated dense subalgebra of 𝓒(𝕋) every non-zero element of which has a Fourier series expansion divergent in E.
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