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Grothendieck Property for the Symmetric Projective Tensor Product
Authors:Yongjin Li & Qingying Bu
Abstract:For a Banach space $E$, we give sufficient conditions for the Grothendieckproperty of $⨶_{n,s,pi}E$, the symmetric projective tensor product of $E.$ Moreover, if $E^∗$ hasthe bounded compact approximation property, then these sufficient conditions are alsonecessary.
Keywords:Grothendieck property   homogeneous polynomial   projective tensor product.
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