What is the norm in the definition of the projective norm?

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The projective norm is definied as: $\pi(u)=\inf\left\{\sum_{n=1}^{\infty} \|x_n\|\|y_n\|:\sum_{n=1}^{\infty} \|x_n\|\|y_n\|<\infty,\, u = \sum_{n=1}^{\infty} x_n \otimes y_n \right\}$, what are the norms $ \|x_n\|$ and $\|y_n\|$?