In this note, it is proved that if X is a separable infinite dimensional Fréchet space that admits a continuous norm then, ...

In this note, it is proved the existence of a c -dimensional vector space of real-entire functions all of whose nonzero ...

In this note, a vector space of real-analytic functions on the plane is explicitly constructed such that all its nonzero ...

In this paper, we investigate to what extent the conclusion of the Lebesgue dominated convergence theorem holds if the ...

The Swiss mathematician Leonhard Euler started the study of the Gamma function when he became interested in the problem ...

In this paper, the notion of [S]-lineability (originally coined by Vladimir I. Gurariy) is introduced and developed in a ...

In this note, the universality of a sequence of operators associated to the partial sums of the Taylor series of a holomorphic ...

We prove in this paper that if a metric space supports a real continuous function which is not uniformly continuous then, ...

We prove the existence of dense linear subspaces, of infinitely generated subalgebras and of infinite dimensional Banach ...

It is shown in this short note the existence, for each nonzero member of the ideal of D-multiples of convolution operators acting on the space of entire functions, of a scalar multiple of it supporting a hypercyclic algebra.

In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a ...

In this paper, the notion of simultaneous universality is introduced, concerning operators having orbits that simultaneously ...

We prove in this paper the existence of dense linear subspaces in the classical holomorphic Lipschitz spaces in the disc ...

In this short note, it is proved the existence of infinite matrices that not only preserve convergence and limits of ...

In this paper, the linear structure of the family He(G) of holomorphic functions in a domain G of the complex plane that ...

It is proved the existence of large algebraic structures –including large vector subspaces or infinitely generated free ...

In this note, the linear structure of the family He(G) of holomorphic functions in a domain G of a complex Banach space ...

It is proved the existence of large algebraic structures –including large vector subspaces or infinitely generated free ...

In this paper, a criterion for the existence of large linear algebras consisting, except for zero, of one-to-one operators ...

It is proved that there are large vector spaces of functions in the disc algebra for which every nonzero member satisfies ...

In this paper, the non-vacuousness of the family of all nowhere analytic infinitely differentiable functions on the real ...

We study the rate of growth of entire functions that are distributionally irregular for the differentiation operator D. ...

For the Dunkl operator Λα (α > −1/2) on the space of entire functions on the complex space C, the critical rate of growth ...

In this paper, a study of topological and algebraic properties of two families of functions from the unit interval I into ...

The starting point of this paper is the existence of Peano curves, that is, continuous surjections mapping the unit interval ...

Lineability is a property enjoyed by some subsets within a vector space X. A subset A of X is called lineable whenever A ...

For the last decade there has been a generalized trend in Mathematics on the search for large algebraic structures (linear ...

Necessary/sufficient conditions for a sequence of automorphisms of the complex plane to generate a sequence of composition ...

A function f holomorphic in the unit disk D is called strongly annular if there exists a sequence of concentric circles ...

We show that exponential growth is the critical discrete rate of growth for zero-free entire functions which are universal ...

Let (φn) be a sequence of holomorphic self-maps of a Jordan domain G in the complex plane. Under appropriate conditions ...

Let A be an unbounded Arakelian set in the complex plane whose complement has infinite inscribed radius, and ψ be an ...

It is proved that, in most cases, a scalar multiple of a linear-fractional generated composition operator λCϕ acting on a ...

We provide sharp conditions on a measure µ defined on a measurable space X guaranteeing that the family of functions in ...

We prove the existence of a residual set of entire functions, all of whose members are hypercyclic for every nonzero scalar ...

We link the overconvergence properties of certain Taylor series in the unit disk to the maximality of their cluster sets, ...

We prove that, given a sequence of points in a complex domain Ω without accumulation points, there are functions having ...

We prove in this paper that if G is a domain in the complex plane satisfying adequate topological or geometrical conditions ...

The existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G in the complex plane ...

It is proved in this note that a sequence of automorphisms on the N-dimensional unit ball acts properly discontinuously ...

In this paper we characterize various kinds of cyclicity of sequences of coefficient multipliers, which are operators ...

Let Ω be a domain in the N-dimensional real space, L be an elliptic differential operator, and (Tn) be a sequence whose ...

In these notes we provide a new proof of the existence of a hypercyclic uniformly continuous semigroup of operators on any ...

In this note it is proved that the sequence of composition operators generated by automorphisms of a simply connected ...

In this note, we show that every infinite-dimensional separable Fr´echet space admitting a continuous norm supports an ...

In this paper, it is proved that, for any domain G of the complex plane, there exist an infinite-dimensional closed linear ...

In this note, the existence of translation-universal entire functions which are bounded on certain closed subsets is ...

In this note it is constructed an entire function that interpolates a prescribed pair of sequences in the complex plane, ...

The phenomenon of overconvergence is related with the convergence of subsequences of the sequence of partial sums of Taylor ...

A holomorphic function in a Jordan domain G in the complex plane is constructed with all its derivatives extending ...

In this paper, we show that for a wide class of operators T –including infi- nite order differential operators, and ...

In this paper we consider spaces of sequences which are valued in a topological space E and study generalized backward ...

In this paper the affine endomorphisms of C N which support compositionally universal entire functions are completely characterized.

We prove a Seidel-Walsh-type theorem about universality of a sequence of derivation-composition operators generated by ...

Inspired by a statement of W. Luh asserting the existence of entire functions having together with all their derivatives ...

We prove in this paper the following result which extends in a somewhat ‘linear’ sense a theorem by Kierst and Szpilrajn ...

The existence of a dense linear manifold of holomorphic functions on a Jordan domain having except for zero maximal cluster set along any curve tending to the boundary with nontotal oscillation value set is shown.

In this paper generalized Riesz methods (R, p, M) of summability are considered. We prove that, to each open set O ⊂ C ...

In this note, is proved that every member of a wide class of Banach spaces supports a sequence (Tn) of operators with a ...

In this paper we introduce two classes of operators on spaces of continuous functions with values in F-spaces under the ...

A continuación se estudia la superciclicidad y se introduce la propiedad de la c-hiperciclicidad y c-hiperciclicidad por ...

In this paper the new concept of totally omnipresent operators is introduced. These operators act on the space of holomorphic ...

An operator T on the space H(G) of holomorphic functions on a domain G is strongly omnipresent whenever there is a residual ...

In this paper, a sharp version of the Schwarz–Pick Lemma for hyperbolic derivatives is provided for holomorphic selfmappings ...

This paper studies the concept of strongly omnipresent operators that was recently introduced by the first two authors. ...

In this paper the exponential type of hypercyclic entire functions with respect to a sequence (Φn(D)) of differential ...

A monster in the sense of Luh is a holomorphic function on a simply connected domain in the complex plane such that it and ...

In this paper, the authors introduce the dense-image operators T as those with a wild behaviour near of the boundary of a ...

In this paper we study the universality of (cnTn) where (cn) is a scalar sequence and (Tn) is a universal sequence such ...

In this paper, an eigenvalue criterion for hypercyclicity due to the first author is improved. As a consequence, some new ...

Assume that G is a nonempty open subset of the complex plane and that T is an operator on the linear space of holomorphic ...

Assume that {Sn}∞1 is a sequence of automorphisms of the open unit disk D and that {Tn}∞1 is a sequence of linear differential ...

We prove in this note that, given a simply connected domain G in the complex plane and a sequence of infinite order linear ...

In this paper, we provide some extensions of earlier results about hypercyclicity of some operators on the Fréchet space ...

We prove in this note a generalization of a theorem due to G. Herzog on zero-free universal entire functions. Specifically, ...

We prove in this note that, given α ∈ (0, 1/2), there exists a linear manifold M of entire functions satisfying that M is ...

We prove in this paper that, given α ∈ (0, 1/2), there exists a linear manifold M of entire functions satisfying that M ...

In this paper a new sort of operators, the Taylor shifts, is introduced. They appear as a generalization of weighted ...

"Esta memoria está dividida en cuatro capítulos. En el Capítulo cero de preliminares introducimos la notación y recordamos ...

In this paper, we essay a generalization of the classical concept of growth order of an entire function. We define the new ...

Our aim in this paper is to give several new expressions for the kth-convergence exponent of a complex sequence, and an extension of this concept to a certain class of real functions.

In this paper we show that, given two double sequences of positive real numbers, α and β, the subset of all functions ...