Now showing items 1-5 of 5
The set of space-filling curves: topological and algebraic structure [Article]
In this paper, a study of topological and algebraic properties of two families of functions from the unit interval I into the plane R2 is performed. The first family is the collection of all Peano curves, that is, of those ...
Large algebras of singular functions vanishing on prescribed sets [Article]
In this paper, the non-vacuousness of the family of all nowhere analytic infinitely differentiable functions on the real line vanishing on a prescribed set Z is characterized in terms of Z. In this case, large algebraic ...
Algebraic structure of continuous, unbounded and integrable functions [Article]
In this paper we study the large linear and algebraic size of the family of unbounded continuous and integrable functions in [0, +∞) and of the family of sequences of these functions converging to zero uniformly on ...
Subspaces of frequently hypercyclic functions for sequences of composition operators. [Article]
In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a complex domain to be frequently hypercyclic is provided. Such a criterion improves some already known ...
Structural aspects of the non-uniformly continuous functions and the unbounded functions within C(X) [Article]
We prove in this paper that if a metric space supports a real continuous function which is not uniformly continuous then, under appropriate mild assumptions, there exists in fact a plethora of such functions, in both ...