CONTENTSIntroduction................................................................................................................................5Preliminaries..............................................................................................................................5 A. Vector lattices......................................................................................................................6 B. Measure theory.................................................................................................................12Musielak-Orlicz spaces............................................................................................................15 1. Some properties of Musielak-Orlicz spaces.......................................................................15 2. Isomorphisms between Musielak-Orlicz spaces.................................................................20 3. Drewnowski-Orlicz theorem...............................................................................................23Representations of Orlicz lattices............................................................................................24 4. Basic properties of orthogonal additive modulars and examples of Orlicz lattices.............24 5. The Main Representation Theorem for Orlicz lattices........................................................32 6. Representation of Orlicz lattices by Orlicz spaces.............................................................40 7. Ultraproducts of some Orlicz lattices..................................................................................48Notes and comments...............................................................................................................57References..............................................................................................................................61
@book{bwmeta1.element.zamlynska-34c94a92-d71e-491f-b933-3f7f19da1ff0, author = {Witold Wnuk}, title = {Representations of Orlicz lattices}, series = {GDML\_Books}, publisher = {Instytut Matematyczny Polskiej Akademi Nauk}, address = {Warszawa}, year = {1984}, zbl = {0566.46018}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-34c94a92-d71e-491f-b933-3f7f19da1ff0} }
Witold Wnuk. Representations of Orlicz lattices. GDML_Books (1984), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-34c94a92-d71e-491f-b933-3f7f19da1ff0/