In this paper we introduce the concept of infinite pointwise dense lineability (spaceability), and provide a criterion to ...

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

This work serves as an introduction to hypercyclicity, focusing on hypercyclicity in linear dynamical systems, with a ...

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

In 1966, Russian mathematician Vladimir Gurariy proved that the set of continuous functions on the interval [0, 1] that ...

Large algebraic structures are found inside the space of sequences of continuous functions on a compact interval having ...

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

Historically, many mathematicians of all ages have been attracted and fascinated by the existence of large algebraic ...

In this work we focus our attention on a collection of function spaces whose analysis is not deepened usually during the ...

In this paper we look for the existence of large linear and algebraic structures of sequences of measurable functions with ...

El objetivo de este trabajo es mostrar al lector varios modos de convergencia de sucesiones de funciones, estos son: ...

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

In this paper we study the large linear and algebraic size of the family of unbounded continuous and integrable functions ...

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 ...

Las curvas de Peano pueden generalizarse y entenderse: o bien como aplicaciones continuas y sobreyectivas entre dos espacios ...

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

In the late Nineteenth Century, Weierstrass showed that any continuous real function in a compact can be uniformly ...

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

Desde siempre, grandes matemáticos de todas las épocas se han sentido atraídos y fascinados por la existencia de grandes ...

El objetivo principal de este Trabajo Fin de Máster es realizar un estudio sobre los últimos resultados de existencia de ...

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

We are going to characterize those sets which can be covered by an Arakelian set in terms of dynamical properties of entire ...

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 ...

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

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

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 ...

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

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

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. ...

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 characterize the universality of a sequence of composition operators generated by automorphisms of the ...

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 ...