Kallman–Rota inequality explained

In mathematics, the Kallman–Rota inequality, introduced by, is a generalization of the Landau–Kolmogorov inequality to Banach spaces. It states that if A is the infinitesimal generator of a one-parameter contraction semigroup then

\|Af\| ^{2} \le 4 \|f\|\|A ^{2f\|.}

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