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Representations of Orlicz lattices

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Rozprawy Matematyczne tom/nr w serii: 235 wydano: 1984
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Abstrakty
EN

CONTENTS
Introduction................................................................................................................................5
Preliminaries..............................................................................................................................5
  A. Vector lattices......................................................................................................................6
  B. Measure theory.................................................................................................................12
Musielak-Orlicz spaces............................................................................................................15
  1. Some properties of Musielak-Orlicz spaces.......................................................................15
  2. Isomorphisms between Musielak-Orlicz spaces.................................................................20
  3. Drewnowski-Orlicz theorem...............................................................................................23
Representations 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..................................................................................48
Notes and comments...............................................................................................................57
References..............................................................................................................................61
Słowa kluczowe
Tematy
Miejsce publikacji
Warszawa
Copyright
Seria
Rozprawy Matematyczne tom/nr w serii: 235
Liczba stron
62
Liczba rozdzia³ów
Opis fizyczny
Dissertationes Mathematicae, Tom CCXXXV
Daty
wydano
1984
Twórcy
autor
Bibliografia
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bwmeta1.element.zamlynska-34c94a92-d71e-491f-b933-3f7f19da1ff0
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ISBN
83-01-05819-6
ISSN
0012-3862
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