Kallman–Rota inequality

In mathematics, the Kallman–Rota inequality, introduced by Template:Harvtxt, 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

$\Vert Af{\Vert }^2\le 4\Vert f\Vert \Vert A^{2}f\Vert .$

References

• Template:Citation.