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arXiv · 2307.10671

Infinite pointwise lineability: general criteria and applications

M. C. Calderón-Moreno·P. J. Gerlach-Mena·J. A. Prado-Bassas
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Abstract

In 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 $p \geq 1$, on $\mathbb{R}^N$ which are unbounded in a prefixed set.

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BibTeXRIS

M. C. Calderón-Moreno, P. J. Gerlach-Mena, J. A. Prado-Bassas. 2023-07-20. Infinite pointwise lineability: general criteria and applications. https://doi.org/10.1007/s13398-023-01525-4

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