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Artículo
Linear Kierst-Szpilrajn theorems
(Polish Academy of Sciences, Institute of Mathematics, 2005)
We prove in this paper the following result which extends in a somewhat ‘linear’ sense a theorem by Kierst and Szpilrajn and which holds on many ‘natural’ spaces of holomorphic functions in the open unit disk D: There ...
Artículo
Large linear manifolds of non-continuable boundary-regular holomorphic functions
(Elsevier, 2008-05-01)
We prove in this paper that if G is a domain in the complex plane satisfying adequate topological or geometrical conditions then there exists a large (dense or closed infinite-dimensional) linear submanifold of boundary-regular ...
Artículo
Interpolation by tamed entire functions
(Bulgarian Academy of Sciences, 2006)
In this note it is constructed an entire function that interpolates a prescribed pair of sequences in the complex plane, and with the property that its values are controlled in some sense on a given compact subset by those ...
Artículo
Cyclicity of coefficient multipliers: Linear structure
(Springer, 2007-03)
In this paper we characterize various kinds of cyclicity of sequences of coefficient multipliers, which are operators defined on spaces of holomorphic functions. In the case of a single coefficient multiplier we characterize ...
Artículo
Maximal cluster sets of L-analytic functions along arbitrary curves
(Springer, 2007-03)
Let Ω be a domain in the N-dimensional real space, L be an elliptic differential operator, and (Tn) be a sequence whose members belong to a certain class of operators defined on the space of L-analytic functions on Ω. ...
Artículo
Interpolation by hypercyclic functions for differential operators
(Elsevier, 2009-04)
We prove that, given a sequence of points in a complex domain Ω without accumulation points, there are functions having prescribed values at the points of the sequence and, simultaneously, having dense orbit in the space ...
Artículo
U-operators
(Cambridge University Press, 2005-02)
Inspired by a statement of W. Luh asserting the existence of entire functions having together with all their derivatives and antiderivatives some kind of additive universality or multiplicative universality on certain ...
Artículo
Norms of hypercyclic sequences
(The European Digital Mathematics Library, 2004)
In this note, is proved that every member of a wide class of Banach spaces supports a sequence (Tn) of operators with a hereditary hypercyclic subsequence (Tnk) such that (Tn) itself does not satisfy the so-called ...
Artículo
Funciones con derivadas sucesivas grandes y pequeñas por doquier
(Universitat de Barcelona, 1987)
In this paper we show that, given two double sequences of positive real numbers, α and β, the subset of all functions defined on an open real set which have big derivatives and small ones with respect to α and β, at every ...
Artículo
Universal matrix transforms of holomorphic functions
(University of Houston, 2006)
The phenomenon of overconvergence is related with the convergence of subsequences of the sequence of partial sums of Taylor series at points outside their disk of convergence. During the seventies Chui and Parnes and the ...