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Harald Hanche-Olsen
Harald Hanche-Olsen
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$\ell_infty^*$ $\ell_\infty^*$ has Dunford--Pettis property

hi, I'm trying to prove that $\ell_\infty^*$ has the Dunford--PettisDunford–Pettis property. It's enough to show that $\ell_\infty$ does not contain a copy of $\ell_1$ ...… but I'm having some trouble doing that. Can anyone help me ?

Thanks in advance.

$\ell_infty^*$ has Dunford--Pettis property

hi, I'm trying to prove that $\ell_\infty^*$ has the Dunford--Pettis property. It's enough to show that $\ell_\infty$ does not contain a copy of $\ell_1$ ... but I'm having some trouble doing that. Can anyone help me ?

Thanks in advance.

$\ell_\infty^*$ has Dunford--Pettis property

hi, I'm trying to prove that $\ell_\infty^*$ has the Dunford–Pettis property. It's enough to show that $\ell_\infty$ does not contain a copy of $\ell_1$ … but I'm having some trouble doing that. Can anyone help me ?

Thanks in advance.

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user27480
user27480
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$\ell_infty^*$ has Dunford--Pettis property

hi, I'm trying to prove that $\ell_\infty^*$ has the Dunford--Pettis property. It's enough to show that $\ell_\infty$ does not contain a copy of $\ell_1$ ... but I'm having some trouble doing that. Can anyone help me ?

Thanks in advance.