Universidad Complutense de Madrid
E-Prints Complutense

Lineability and additivity in R(R).



Último año

Gámez Merino, José Luis y Muñoz-Fernández, Gustavo A. y Seoane-Sepúlveda, Juan B. (2010) Lineability and additivity in R(R). Journal of Mathematical Analysis and Applications, 369 . pp. 265-272. ISSN 0022-247X

[img] PDF
Restringido a Sólo personal autorizado del repositorio


URL Oficial: http://www.sciencedirect.com/science/article/pii/S0022247X10002453

URLTipo de URL


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.

Tipo de documento:Artículo
Palabras clave:Lineability; Additivity; Jones functions
Materias:Ciencias > Matemáticas > Análisis matemático
Código ID:15406
Depositado:29 May 2012 09:37
Última Modificación:25 Nov 2016 12:42

Descargas en el último año

Sólo personal del repositorio: página de control del artículo