Infinite pointwise lineability: general criteria and applications
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 an...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/152429 |
| Acceso en línea: | https://hdl.handle.net/11441/152429 https://doi.org/10.1007/s13398-023-01525-4 |
| Access Level: | acceso abierto |
| Palabra clave: | Lineability Spaceability Pointwise lineability Differentiable Unbounded Integrable |
| Sumario: | 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. |
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