Quantitative Bessaga–Pełczyński property and quantitative Rosenthal property

Dongyang Chen and Yingbin Ruan

Mathematische Nachrichten, 2019, vol. 292, issue 8, 1685-1700

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.

Date: 2019
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