For nonnegative r-matrices symmetric in two indices, the p-norm is attained with identical vectors for those indices, implying p-spectral radius equals p-norm for p≥2 in symmetric cases.
Banach, Über homogene Polynome in ( L2) , Studia Math
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The p-norm of hypermatrices with symmetries
For nonnegative r-matrices symmetric in two indices, the p-norm is attained with identical vectors for those indices, implying p-spectral radius equals p-norm for p≥2 in symmetric cases.