RT Journal Article
T1 Vector spaces of non-measurable functions
A1 García-Pacheco, F.J.
A1 Seoane-Sepúlveda, Juan B.
AB We show that there exists an infinite dimensional vector space every non-zero element of which is a non-measurable function. Moreover, this vector space can be chosen to be closed and to have dimension beta for any cardinality beta. Some techniques involving measure theory and density characters of Banach spaces are used.
PB Springer Heidelberg
SN 1439-8516
YR 2006
FD 2006
LK https://hdl.handle.net/20.500.14352/50492
UL https://hdl.handle.net/20.500.14352/50492
LA eng
DS Docta Complutense
RD 7 abr 2025