6 citations · 10 across the 3 of their papers we have counts for
3 papers
math.FA2009★ 4 cited
Functions of operators under perturbations of class $\bS_p$
A. B. Aleksandrov, V. V. Peller
This is a continuation of our paper \cite{AP2}. We prove that for functions in the Hölder class $Ł_\a(\R)$ and $1<p<\be$, the operator belongs to $\bS_{p/\a}$, when…
math.FA2009★ 6 cited
Operator Hölder--Zygmund functions
A. B. Aleksandrov, V. V. Peller
It is well known that a Lipschitz function on the real line does not have to be operator Lipschitz. We show that the situation changes dramatically if we pass to Hölder classes. Na…
math.FA2009
Functions of perturbed operators
A. B. Aleksandrov, V. V. Peller
We prove that if $0<\a<1$ and is in the Hölder class $Ł_\a(\R)$, then for arbitrary self-adjoint operators and with bounded , the operator is bounded a…