Quantitative Bessaga–Pełczyński property and quantitative Rosenthal property

Quantitative Bessaga–Pełczyński property and quantitative Rosenthal property

We prove that c0 and C(K), where K is a dispersed compact Hausdorff space, enjoy a quantitative version of the Bessaga–Pełczyński property. We also prove that l1 possesses a quantitative version of the Pełczyński property. Finally, we show that L1(μ) has a quantitative version of the Rosenthal prope...

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Veröffentlicht in:Mathematische Nachrichten 2019-08, Vol.292 (8), p.1685-1700
Hauptverfasser: Chen, Dongyang, Ruan, Yingbin
Format: Artikel
Sprache:eng
Schlagworte:
46B20
47B10
measures of non‐strict‐cosingularity
quantitative Bessaga–Pełczyński property
quantitative Pełczyński property
quantitative Rosenthal property
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Zusammenfassung:We prove that c0 and C(K), where K is a dispersed compact Hausdorff space, enjoy a quantitative version of the Bessaga–Pełczyński property. We also prove that l1 possesses a quantitative version of the Pełczyński property. Finally, we show that L1(μ) has a quantitative version of the Rosenthal property for any finite measure μ.
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.201800312