Representations of Orlicz lattices

Witold Wnuk. Representations of Orlicz lattices. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1984. <http://eudml.org/doc/268626>.

@book{WitoldWnuk1984,
abstract = {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},
author = {Witold Wnuk},
keywords = {Orlicz lattices; abstract -spaces; orthogonal additive modular; vector lattices and measures; order-topological properties of Musielak- Orlicz spaces; representation theorem; super order dense sublattices in Musielak-Orlicz spaces; ultraproducts},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Representations of Orlicz lattices},
url = {http://eudml.org/doc/268626},
year = {1984},
}

TY - BOOK
AU - Witold Wnuk
TI - Representations of Orlicz lattices
PY - 1984
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - 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
LA - eng
KW - Orlicz lattices; abstract -spaces; orthogonal additive modular; vector lattices and measures; order-topological properties of Musielak- Orlicz spaces; representation theorem; super order dense sublattices in Musielak-Orlicz spaces; ultraproducts
UR - http://eudml.org/doc/268626
ER -