Abstract:The computation of the numerical index of classical Banach spaces is one of the original problems in the theory. In this paper, we compute the numerical index of two-dimensional real \(\ell_p\)-spaces for all \(p\ge1\). More precisely, we prove that \[ n(\ell_p^2)=v(J), \qquad J= \begin{pmatrix}
0&1
-1&0 \end{pmatrix}, \] confirming the conjectured formula in the two-dimensional real case.
From: Rafael Chiclana Vega [view email]
[v1]
Mon, 1 Jun 2026 04:32:43 UTC (10 KB)
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