Abstract
AbstractIn this paper we introduce the concept of infinite pointwise dense lineability (spaceability), and provide a criterion to obtain density from mere lineability. As an application, we study the linear and topological structures within the set of infinite differentiable and integrable functions, for any order $$p \ge 1$$
p
≥
1
, on $$\mathbb R^N$$
R
N
which are unbounded in a pre-fixed set.
Funder
Junta de Andalucía
Consejería de Economía, Conocimiento, Empresas y Universidad, Junta de Andalucía
Universidad de Sevilla
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis
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