Local structure of generalized Orlicz−Lorentz function spaces
[ 1 ] Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | [ P ] employee
2015
scientific article
english
- symmetric spaces
- symmetrization of the banach function space
- generalized orlicz-lorentz space
- musielak-orlicz space
- monotonicity properties
- order continuity
- local structure of a separated point
EN We study the local structure of a separated point x in the generalized Orlicz–Lorentz space Λφ which is a symmetrization of the respectiveMusielak–Orlicz space Lφ. We present criteria for an LM point and a UM point, and sufficient conditions for a point of order continuity and an LLUM point, in the space Λφ.We prove also a characterization of strict monotonicity of the space Λφ.
211 - 227
CC BY (attribution alone)
open journal
final published version
public
9