Grothendieck Property for the Symmetric Projective Tensor Product
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@Article{JMS-49-429,
author = {Li , Yongjin and Bu , Qingying},
title = {Grothendieck Property for the Symmetric Projective Tensor Product},
journal = {Journal of Mathematical Study},
year = {2016},
volume = {49},
number = {4},
pages = {429--432},
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.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v49n4.16.05}, url = {http://global-sci.org/intro/article_detail/jms/10120.html} }
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 -
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.
Li , Yongjin and Bu , Qingying. (2016). Grothendieck Property for the Symmetric Projective Tensor Product.
Journal of Mathematical Study. 49 (4).
429-432.
doi:10.4208/jms.v49n4.16.05
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