65 citations · 140 across the 49 of their papers we have counts for
Showing 2014Show all
2 papers · 1 filter
math.FA2014
Almost commuting functions of almost commuting self-adjoint operators
Aleksei Aleksandrov, Vladimir Peller
Let and be almost commuting (i.e, $AB-BA\in\bS_1$) self-adjoint operators. We construct a functional calculus $\f\mapsto\f(A,B)$ for $\f$ in the Besov class $B_{\be,1}^1(\R…
math.FA2014
Functions of perturbed noncommuting self-adjoint operators
Aleksei Aleksandrov, Fedor Nazarov, Vladimir Peller
We consider functions of noncommuting self-adjoint operators and that can be defined in terms of double operator integrals. We prove that if belongs to the Bes…