2026-06-29T07:44:52Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/231582025-04-08T14:31:33Zcom_20.500.14352_14col_20.500.14352_15

Injective mappings in R-R and lineability Jiménez Rodríguez, P. Maghsoudi, S. Muñoz-Fernández, Gustavo A. Seoane Sepúlveda, Juan Benigno 517.98 Lineability Open mapping Injective function Special functions Análisis funcional y teoría de operadores It is known that there is not a two dimensional linear space in R-R every non-zero element of which is an injective function. Here, we generalize this result to arbitrarily large dimensions. We also study the convolution of non differentiable functions which gives, as a result, a differentiable function. In this latter case, we are able to show the existence of linear spaces of the largest possible dimension formed by functions enjoying the previous property. By doing this we provide both positive and negative results to the recent field of lineability. Some open questions are also provided. Ministerio de Ciencia e Innovación (MICINN) Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-18T05:43:26Z 2023-06-18T05:43:26Z 2016 journal article https://hdl.handle.net/20.500.14352/23158 1370-1444 MTM2015-65825-P metadata only access Belgian Mathematical Soc Triomphe