Timeline for A characterization of the Dunford-Pettis property
Current License: CC BY-SA 4.0
7 events
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Sep 11, 2021 at 9:48 | comment | added | Dongyang Chen | @OnurOktay I add something to the question. | |
Sep 11, 2021 at 9:43 | history | edited | Dongyang Chen | CC BY-SA 4.0 |
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Sep 11, 2021 at 9:32 | comment | added | Dongyang Chen | Thanks, Onur. The $\delta((x_{n})_{n})=0$ if and only if $(x_{n})_{n}$ is weakly Cauchy. | |
Sep 11, 2021 at 8:27 | comment | added | Onur Oktay | The paper doi.org/10.1016/j.aim.2012.10.019 provides a comprehensive background for this problem. Especially Theorems 5.4, 5.5 and Examples 5.10, 10.1 are instructive. | |
Sep 10, 2021 at 15:40 | comment | added | Onur Oktay | There might be a typo above. Isn't $\inf_n\sup_{k,l\geq n} |\langle x^*,x_k-x_l\rangle| = 0$ for each $x^*\in X^*$ and weakly null sequence $(x_n)$ in any Banach space $X$? | |
Sep 10, 2021 at 9:16 | history | edited | YCor |
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Sep 10, 2021 at 3:08 | history | asked | Dongyang Chen | CC BY-SA 4.0 |