Article
Infinite pointwise lineability: general criteria and applications
Author/s | Prado Bassas, José Antonio
Gerlach Mena, Pablo José Calderón Moreno, María del Carmen |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2023-11-11 |
Deposit Date | 2023-12-12 |
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 ... 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 $p\ge1$, on $\mathbb{R}^N$ which are unbounded in a pre-fixed set. |
Project ID. | FQM-127
US-1380969 |
Referenced by | https://link.springer.com/article/10.1007/s13398-023-01525-4 |
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