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Symmetric function spaces on atomless probability spaces

Autorzy

Anatoliĭ M. Plichko Mikhail M. Popov

Seria

Rozprawy Matematyczne tom/nr w serii: 306 wydano: 1990

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Pełne teksty:
rm30601.pdf

Warianty tytułu

Abstrakty

EN

CONTENTS
Introduction....................................................................................................................................5
1. Sequences of elements in separable Banach spaces...............................................................8
2. Maharam's theorem.................................................................................................................16
3. Symmetric function spaces......................................................................................................21
4. Bases in nonseparable symmetric spaces...............................................................................28
5. Uncountable unconditional basic sequences and unconditional decompositions....................33
6. Characters of compact Abelian groups....................................................................................40
7. Almost periodic functions.........................................................................................................46
8. Narrow operators.....................................................................................................................53
9. Narrow operators in L_p(μ), 1 < p < ∞.....................................................................................60
10. Rich subspaces.....................................................................................................................70
11. Isomorphic classification of L_p(μ)-spaces............................................................................74
References..................................................................................................................................82

Słowa kluczowe

Tematy

Kategoryzacja MSC:

Wydawca

Instytut Matematyczny Polskiej Akademii Nauk

Miejsce publikacji

Warszawa

Copyright

Seria

Rozprawy Matematyczne tom/nr w serii: 306

Liczba stron

85

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Opis fizyczny

Dissertationes Mathematicae, Tom CCCVI

Daty

wydano
1990
otrzymano
1988-12-05
poprawiono
1990-05-10

Twórcy

autor
Anatoliĭ M. Plichko
  • Institute of Applied Problems or Mechanics and Mathematics, Naukova 3B, 290053 L'viv, USSR
autor
Mikhail M. Popov
  • Department of Physics and Mathematics, Zaporozhye State University, Zhukovskogo 66, 330055 Zaporozhye, USSR

Bibliografia

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Języki publikacji

EN

Uwagi

1985 Mathematics Subject Classification: 46E30

Identyfikator YADDA

bwmeta1.element.zamlynska-536d8afd-fad6-4cef-b63c-d2829aea1ffd

Identyfikatory

ISBN
83-85-116-05-2
ISSN
0012-3862

Kolekcja

DML-PL
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