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General Numerical Radius for Products of Sectorial Matrices

math.FA · 2025-05-31 · conditional · novelty 5.0

For sectorial matrices X and Y, the generalized numerical radius satisfies omega_N(XY) <= sec(alpha1)sec(alpha2)omega_N(X)omega_N(Y) and the same bound holds for the Hadamard product.

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  • General Numerical Radius for Products of Sectorial Matrices math.FA · 2025-05-31 · conditional · none · ref 7

    For sectorial matrices X and Y, the generalized numerical radius satisfies omega_N(XY) <= sec(alpha1)sec(alpha2)omega_N(X)omega_N(Y) and the same bound holds for the Hadamard product.