Biblioteca de la Universidad Complutense de Madrid

Sierpitski-Zygmund Functions and other Problems on Lineability

Impacto



Gámez Merino, José Luis y Muñoz-Fernández, Gustavo A. y Sánchez, V.M. y Seoane-Sepúlveda, Juan B. (2010) Sierpitski-Zygmund Functions and other Problems on Lineability. Proceedings of the American Mathematical Society, 138 (11). pp. 3863-3876. ISSN 0002-9939




Resumen

We find large algebraic structures inside the following sets of pathological functions: (i) perfectly everywhere surjective functions, (ii) differentiable functions with almost nowhere continuous derivatives, (iii) differentiable nowhere monotone functions, and (iv) Sierpinski-Zygmund functions. The conclusions obtained on (i) and (iii) are improvements of some already known results.


Tipo de documento:Artículo
Palabras clave:Lineability; algebrability; everywhere surjective; nowhere monotone; approximately continuous; Pompeiu derivative
Materias:Ciencias > Matemáticas > Análisis funcional y teoría de operadores
Código ID:16916
Depositado:30 Oct 2012 08:52
Última Modificación:28 Nov 2016 09:24

Sólo personal del repositorio: página de control del artículo