RT Journal Article
T1 Nonlinear subsets of function spaces and spaceability
A1 Ruiz Bermejo, César
A1 Sánchez de los Reyes, Víctor Manuel
AB In this paper, we study the existence of infinite dimensional closed linear subspaces of a rearrangement invariant space on [0,1] every nonzero element of which does not belong to any included rearrangement invariant space of the same class such that the inclusion operator is disjointly strictly singular. We consider Lorentz, Marcinkiewicz and Orlicz spaces. The answer is affirmative for Marcinkiewicz spaces and negative for Lorentz and Orlicz spaces. Also, the same problem is studied for Nakano spaces assuming different hypothesis
PB Elsevier
SN 0024-3795
YR 2014
FD 2014-12
LK https://hdl.handle.net/20.500.14352/33837
UL https://hdl.handle.net/20.500.14352/33837
LA eng
NO Spanish Ministry of Economy and Competitiveness
DS Docta Complutense
RD 10 may 2025