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Quantitative Bessaga–Pełczyński property and quantitative Rosenthal property

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  • Dongyang Chen
  • Yingbin Ruan

Abstract

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.

Suggested Citation

  • Dongyang Chen & Yingbin Ruan, 2019. "Quantitative Bessaga–Pełczyński property and quantitative Rosenthal property," Mathematische Nachrichten, Wiley Blackwell, vol. 292(8), pages 1685-1700, August.
    • Handle: RePEc:bla:mathna:v:292:y:2019:i:8:p:1685-1700
    DOI: 10.1002/mana.201800312
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