|
Título:
|
Lineability and additivity in R(R).
|
|
Autores:
|
Gámez Merino, José Luis ;
Muñoz-Fernández, Gustavo A. ;
Seoane-Sepúlveda, Juan B.
|
|
Tipo de documento:
|
texto impreso
|
|
Editorial:
|
Elsevier, 2010
|
|
Dimensiones:
|
application/pdf
|
|
Nota general:
|
info:eu-repo/semantics/restrictedAccess
|
|
Idiomas:
|
|
|
Palabras clave:
|
Estado = Publicado
,
Materia = Ciencias: Matemáticas: Análisis matemático
,
Tipo = Artículo
|
|
Resumen:
|
We give a condition for a family of functions to be lineable by means of its additivity. The novelty presented here is that we solve the lineability problem using a technique that is not constructive, as are most approaches to this problem. We relate the notions of additivity and lineability and use this relation to give a general method to find the lineability of large families of functions. We also study more examples of pathologically behaving functions, in particular, the class of Jones functions, which is a highly pathological subclass of perfectly everywhere surjective functions. We work on the additivity, lineability, and main properties of this class.
|
|
En línea:
|
https://eprints.ucm.es/id/eprint/15406/1/01.pdf
|
