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Symmetric function spaces on atomless probability spaces

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Plichko A., Popov M.

Instytut Matematyczny Polskiej Akademii Nauk

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

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1 Plichko A.

1 Popov M.

1 1990

Wyniki wyszukiwania

Symmetric function spaces on atomless probability spaces