TY - JOUR
T1 - Grothendieck Property for the Symmetric Projective Tensor Product
AU - Li , Yongjin
AU - Bu , Qingying
JO - Journal of Mathematical Study
VL - 4
SP - 429
EP - 432
PY - 2016
DA - 2016/12
SN - 49
DO - http://doi.org/10.4208/jms.v49n4.16.05
UR - https://global-sci.org/intro/article_detail/jms/10120.html
KW - Grothendieck property, homogeneous polynomial, projective tensor product.
AB - <p style="text-align: justify;">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.</p>