R. Zarouf

most citedIterated resolvent estimates for power bounded matrices

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math.FA2011★ 1 cited

Iterated resolvent estimates for power bounded matrices

Rachid Zarouf

We discuss analogs of the Kreiss resolvent condition for power bounded matrices. We also explain how to extend it to analogs of the Hille-Yosida condition.

math.FA2011

Application of a Bernstein type inequality to rational interpolation in the Dirichlet space

Rachid Zarouf

We prove a Bernstein-type inequality involving the Bergman and the Hardy norms, for rational functions in the unit disc \mathbb{D} having at most n poles all outside of \frac{1}{r}…

math.FA2011

Toeplitz condition numbers as an $H^{\infty}$ interpolation problem

Rachid Zarouf

The condition numbers $C N (T) == ∣∣ T ∣∣.∣∣ T^{- 1} ∣∣$ of Toeplitz and analytic $n \times n$ matrices $T$ are studied. It is shown that the supremum of $C N (T)$ over all such matrices wit…

Iterated resolvent estimates for power bounded matrices

Application of a Bernstein type inequality to rational interpolation in the Dirichlet space

Toeplitz condition numbers as an H∞ interpolation problem

Toeplitz condition numbers as an $H^{\infty}$ interpolation problem