65 citations · 140 across the 49 of their papers we have counts for
5 papers · 2 filters
Functions of perturbed dissipative operators
Aleksei Aleksandrov, Vladimir Peller
We generalize our results of \cite{AP2} and \cite{AP3} to the case of maximal dissipative operators. We obtain sharp conditions on a function analytic in the upper half-plane to be…
Functions of normal operators under perturbations
Alexei Aleksandrov, Vladimir Peller, Denis Potapov +1
In \cite{Pe1}, \cite{Pe2}, \cite{AP1}, \cite{AP2}, and \cite{AP3} sharp estimates for were obtained for self-adjoint operators and and for various classes of fu…
Trace formulae for perturbations of class $\bs{\bS_m}$
Alexei Aleksandrov, Vladimir Peller
We obtain general trace formulae in the case of perturbation of self-adjoint operators by self-adjoint operators of class $\bS_m$, where is a positive integer. In \cite{PSS} a…
Functions of perturbed normal operators
Aleksei Aleksandrov, Vladimir Peller, Denis Potapov +1
In \cite{Pe1}, \cite{Pe2}, \cite{AP1}, \cite{AP2}, and \cite{AP3} sharp estimates for were obtained for self-adjoint operators and and for various classes of fu…
Functions of perturbed unbounded self-adjoint operators. Operator Bernstein type inequalities
Aleksei Aleksandrov, Vladimir Peller
This is a continuation of our papers \cite{AP2} and \cite{AP3}. In those papers we obtained estimates for finite differences $(\D_Kf)(A)=f(A+K)-f(A)$ of the order 1 and $(\D_K^mf)(…