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Artículo
Holomorphic operators generating dense images
(Springer, 2008-01)
The existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G in the complex plane such that T f has dense images on certain subsets of G, where T is a continuous linear operator, is ...
Artículo
Large subspaces of compositionally universal functions with maximal cluster sets
(Elsevier, 2012-02)
Let (φn) be a sequence of holomorphic self-maps of a Jordan domain G in the complex plane. Under appropriate conditions on (φn), we construct an H(G)-dense linear manifold –as well as a closed infinite-dimensional ...