Grothendieck Property for the Symmetric Projective Tensor Product

Authors

  • Yongjin Li Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, P. R. China
  • Qingying Bu Department of Mathematics, University of Mississippi, Mississippi 38677, USA

DOI:

https://doi.org/10.4208/jms.v49n4.16.05

Keywords:

Grothendieck property, homogeneous polynomial, projective tensor product.

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.

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Published

2021-11-08

Issue

Vol. 49 No. 4 (2016)

Section

Articles