RT Journal Article
T1 Lineability and additivity in R(R).
A1 Gámez Merino, José Luis
A1 Muñoz-Fernández, Gustavo A.
A1 Seoane-Sepúlveda, Juan B.
AB 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.
PB Elsevier
SN 0022-247X
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/42180
UL https://hdl.handle.net/20.500.14352/42180
LA eng
DS Docta Complutense
RD 8 abr 2025