Volume 49, Issue 4
Grothendieck Property for the Symmetric Projective Tensor Product

Yongjin Li & Qingying Bu

J. Math. Study, 49 (2016), pp. 429-432.

Published online: 2016-12

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  • 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.

  • AMS Subject Headings

46G25, 46B28, 46H60

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

stslyj@mail.sysu.edu.cn (Yongjin Li)

qbu@olemiss.edu (Qingying Bu)

  • BibTex
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  • TXT
@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.

Yongjin Li & Qingying Bu. (2020). 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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