2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153025It is shown that the tensor product $JH\epten JH$ fails Pełczńyski's property (u). The proof uses a result of Kwapień and Pełczńyski on the main triangle projection in matrix spaces.Functional Analysis46BProperty $\text{(u)}$ in $JH\tilde{\otimes}_εJH$text