Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2410.23063 |
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Inhaltsangabe:
- Given an operator $ϕ:X\rightarrow Y$ between Banach spaces, we consider its tensor powers $ϕ^{\otimes k}$ as operators from the $k$-fold injective tensor product of $X$ to the $k$-fold projective tensor product of $Y$. We show that after taking the $k$th root, the operator norm of $ϕ^{\otimes k}$ converges to the $2$-dominated norm $γ^*_2(ϕ)$, one of the standard operator ideal norms.