Grothendieck Property for the Symmetric Projective Tensor Product

Journal of Mathematical Study
Vol. 49 No. 4 (2016), pp. 429-432
DOI: 10.4208/jms.v49n4.16.05
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Author(s)
,
1 Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, P. R. China
2 Department of Mathematics, University of Mississippi, Mississippi 38677, USA
Abstract

For a Banach space $E$, we give sufficient conditions for the Grothendieck property of $⨶_{n,s,\pi}E$, the symmetric projective tensor product of $E.$ Moreover, if $E^∗$ has the bounded compact approximation property, then these sufficient conditions are also necessary.

Keywords
Grothendieck property homogeneous polynomial projective tensor product.
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