Espacios de funciones holomorfas cuyas diferenciales se extienden en el origen.
Una nota sobre espacios angélicos.
Dualidad del espacio
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.
Countable sets of holomorphic mappings
Extension of multilinear mappings on Banach 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 =...
Composition operators between weighted spaces of holomorphic functions on Banach spaces.
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