Grothendieck Property for the Symmetric Projective Tensor Product

Grothendieck Property for the Symmetric Projective Tensor Product

Year:    2016

Author:    Yongjin Li, Qingying Bu

Journal of Mathematical Study, Vol. 49 (2016), Iss. 4 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Mathematical Study, Vol. 49 (2016), Iss. 4 : pp. 429–432

Published online:    2016-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    4

Keywords:    Grothendieck property homogeneous polynomial projective tensor product.

Author Details

Yongjin Li

Qingying Bu