F. Nazarov

most citedLipschitz functions of perturbed operators

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math.FA2009★ 1 cited

Lipschitz functions of perturbed operators

Fyodor Nazarov, Vladimir Peller

We prove that if $f$ is a Lipschitz function on $R$ , $A$ and $B$ are self-adjoint operators such that $rank (A - B) = 1$ , then $f (A) - f (B)$ belongs to the weak space $\boldsymbol…

math.FA2008

Analytic approximation of matrix functions in $L^{p}$

L. Baratchart, F. L. Nazarov, V. V. Peller

We consider the problem of approximation of matrix functions of class $L^{p}$ on the unit circle by matrix functions analytic in the unit disk in the norm of $L^{p}$ , $2\le p<\be$. For…

Lipschitz functions of perturbed operators

Analytic approximation of matrix functions in Lp

Analytic approximation of matrix functions in $L^{p}$