For commuting d-tuples the spectral radius equals the maximum norm of joint-spectrum points with respect to the underlying space norm, yet different operator-space structures on the same V yield distinct radii for some non-commuting matrix tuples when dim V ≥ 3.
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On the spectral radius of operator tuples
For commuting d-tuples the spectral radius equals the maximum norm of joint-spectrum points with respect to the underlying space norm, yet different operator-space structures on the same V yield distinct radii for some non-commuting matrix tuples when dim V ≥ 3.