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Tytuł książki

The Hahn-Banach Theorem surveyed

Seria
Rozprawy Matematyczne tom/nr w serii: 327 wydano: 1993
Zawartość
Warianty tytułu
Abstrakty
EN
CONTENTS
1. Prerequisites....................................................................................5
2. The history.......................................................................................6
3. Helly's Part.......................................................................................6
4. Banach's proof.................................................................................7
5. The shortest proof...........................................................................8
6. Luxemburg's proof.........................................................................10
7. Nachbin's proof..............................................................................11
8. Mazur's geometric Hahn-Banach Theorem....................................12
9. The complex numbers....................................................................13
10. Ingleton's Theorem......................................................................14
11. Constructive analysis and unique extensions...............................16
12. The Axiom of Choice and the Ultrafilter Theorem.........................18
13. The Mazur-Orlicz Theorem...........................................................21
14. Simultaneous Hahn-Banach extensions.......................................23
15. Injective Banach spaces and injective Banach lattices.................24
16. The interpolation property............................................................26
17. Invariant extensions.....................................................................28
18. Locally convex spaces.................................................................29
19. Non-commutative Hahn-Banach Theorems..................................30
20. The strength of the Hahn-Banach Theorem.................................31
21. Other categories..........................................................................32
  21.1. Groups and semigroups..........................................................32
  21.2. Vector lattices..........................................................................33
  21.3. Algebras..................................................................................34
  21.4. Distributive lattices and Boolean algebras..............................34
  21.5. Module versions of the Hahn-Banach Theorem......................35
References........................................................................................36
Miejsce publikacji
Warszawa
Copyright
Seria
Rozprawy Matematyczne tom/nr w serii: 327
Liczba stron
49
Liczba rozdzia³ów
Opis fizyczny
Dissertationes Mathematicae, Tom CCCXXVII
Daty
wydano
1993
otrzymano
1993-01-09
poprawiono
1993-03-15
Twórcy
  • Department of Mathematics, The University of Mississippi, University, MS 38677, U.S.A.
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EN
Uwagi
1991 Mathematics Subject Classification: Primary 46A22, 46-02;
Secondary 04A25, 46M10, 46P05, 47B55.
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bwmeta1.element.zamlynska-68970a45-5c73-4016-b0e9-c73fc3305d2d
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0012-3862
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DML-PL
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