2 papers
math.FA2013
Lineability, spaceability, and additivity cardinals for Darboux-like functions
Krzysztof Chris Ciesielski, José L. Gámez-Merino, Daniel Pellegrino +1
We introduce the concept of {\em maximal lineability cardinal number}, $\mL(M)$, of a subset of a topological vector space and study its relation to the cardinal numbers known…
math.FA2011
Bounded and unbounded polynomials and multilinear forms: Characterizing continuity
José L. Gámez-Merino, Gustavo A. Muñoz-Fernández, Daniel Pellegrino +1
In this paper we prove a characterization of continuity for polynomials on a normed space. Namely, we prove that a polynomial is continuous if and only if it maps compact sets into…