Now showing items 11-14 of 14
Hausdorff and Box dimensions of continuous functions and lineability [Article]
(Taylor & Francis, 2019-05)
Given s ∈ (1, 2], we study (among other questions) the algebraic genericity of the set of continuous functions f : [0, 1] → R whose graph has Hausdorff (or Box) dimension exactly s.
Linear subsets of nonlinear sets in topological vector spaces [Article]
(American Mathematical Society, 2014-01)
For the last decade there has been a generalized trend in Mathematics on the search for large algebraic structures (linear spaces, closed subspaces, or infinitely generated algebras) composed of mathematical objects enjoying ...
Boundary-nonregular functions in the disc algebra and in holomorphic Lipschitz spaces [Article]
We prove in this paper the existence of dense linear subspaces in the classical holomorphic Lipschitz spaces in the disc all of whose non-null functions are nowhere differentiable at the boundary. Infinitely generated free ...
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 ...