Fix $t\geqslant1$ and define $u_t=\pmatrix{1 & 0\\0 & t}\otimes\pmatrix{1 & 0\\0 & 0}+\pmatrix{1 & 0\\0 & -t}\otimes\pmatrix{0 & 0\\0 & 1}\in\mathcal{M}_2\otimes\mathcal{M}_2$. Calculate $\|u_t\|_{\pi}$ and $\|u_t\|_h$, where these are the projective and the Haagerup tensor norms, respectively.
2026-02-22 18:51:45.1771786305
projective and Haagerup tensor norms
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