Dunford-Pettis for Banach-Spaces












1












$begingroup$


Can anyone tell me if the Dunford-Pettis property is met for a separate refelxive Banach space $X$ with dual $X'$?



I would say that this is the case.










share|cite|improve this question











$endgroup$








  • 1




    $begingroup$
    No.
    $endgroup$
    – Theo Bendit
    Jan 31 at 11:04










  • $begingroup$
    This means, that the $L^p$-Space (for $1<p<infty$) do not have we Dunford Pettis property. Is there a similar statement for such rooms?
    $endgroup$
    – FuncAna09
    Jan 31 at 15:55


















1












$begingroup$


Can anyone tell me if the Dunford-Pettis property is met for a separate refelxive Banach space $X$ with dual $X'$?



I would say that this is the case.










share|cite|improve this question











$endgroup$








  • 1




    $begingroup$
    No.
    $endgroup$
    – Theo Bendit
    Jan 31 at 11:04










  • $begingroup$
    This means, that the $L^p$-Space (for $1<p<infty$) do not have we Dunford Pettis property. Is there a similar statement for such rooms?
    $endgroup$
    – FuncAna09
    Jan 31 at 15:55
















1












1








1





$begingroup$


Can anyone tell me if the Dunford-Pettis property is met for a separate refelxive Banach space $X$ with dual $X'$?



I would say that this is the case.










share|cite|improve this question











$endgroup$




Can anyone tell me if the Dunford-Pettis property is met for a separate refelxive Banach space $X$ with dual $X'$?



I would say that this is the case.







functional-analysis banach-spaces dual-spaces






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Jan 31 at 11:37









YuiTo Cheng

2,3084937




2,3084937










asked Jan 31 at 10:38









FuncAna09FuncAna09

113




113








  • 1




    $begingroup$
    No.
    $endgroup$
    – Theo Bendit
    Jan 31 at 11:04










  • $begingroup$
    This means, that the $L^p$-Space (for $1<p<infty$) do not have we Dunford Pettis property. Is there a similar statement for such rooms?
    $endgroup$
    – FuncAna09
    Jan 31 at 15:55
















  • 1




    $begingroup$
    No.
    $endgroup$
    – Theo Bendit
    Jan 31 at 11:04










  • $begingroup$
    This means, that the $L^p$-Space (for $1<p<infty$) do not have we Dunford Pettis property. Is there a similar statement for such rooms?
    $endgroup$
    – FuncAna09
    Jan 31 at 15:55










1




1




$begingroup$
No.
$endgroup$
– Theo Bendit
Jan 31 at 11:04




$begingroup$
No.
$endgroup$
– Theo Bendit
Jan 31 at 11:04












$begingroup$
This means, that the $L^p$-Space (for $1<p<infty$) do not have we Dunford Pettis property. Is there a similar statement for such rooms?
$endgroup$
– FuncAna09
Jan 31 at 15:55






$begingroup$
This means, that the $L^p$-Space (for $1<p<infty$) do not have we Dunford Pettis property. Is there a similar statement for such rooms?
$endgroup$
– FuncAna09
Jan 31 at 15:55












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