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Is there any information about the supremum, that is in a d-order tensor space $\mathcal{T}=\mathcal{R}^{n_1}\times\mathcal{R}^{n_2}\times\cdots\times\mathcal{R}^{n_d}$, $x\in \mathcal{T}$ what is $$\sup\limits_{||x||_\vee\leq 1}||x||_\wedge,$$ where $\mathcal{R}$ is the real number field and $n_1,n_2,\cdots,n_d$ are integers larger than 1.

Thank you very much!!

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  • $\begingroup$ What is $\mathcal{R}$, $n_1,\ldots, n_d$ ? $\endgroup$
    – Norbert
    Oct 24 '15 at 8:06

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