28 citations · 65 across the 21 of their papers we have counts for
5 papers · 1 filter
On a perturbation determinant for accumulative operators
Konstantin A. Makarov, Anna Skripka, Maxim Zinchenko
For a purely imaginary sign-definite perturbation of a self-adjoint operator, we obtain exponential representations for the perturbation determinant in both upper and lower half-pl…
Multiple operator integrals and spectral shift
Anna Skripka
Multiple scalar integral representations for traces of operator derivatives are obtained and applied in the proof of existence of the higher order spectral shift functions.
Higher order spectral shift, II. Unbounded case
Anna Skripka
We construct higher order spectral shift functions, which represent the remainders of Taylor-type approximations for the value of a function at a perturbed self-adjoint operator by…
Higher order spectral shift
Ken Dykema, Anna Skripka
We construct higher order spectral shift functions, extending the perturbation theory results of M. G. Krein and L. S. Koplienko on representations for the remainders of the first…
The Birman-Schwinger principle in von Neumann algebras of finite type
Vadim Kostrykin, Konstantin A. Makarov, Anna Skripka
We introduce a relative index for a pair of dissipative operators in a von Neumann algebra of finite type and prove an analog of the Birman-Schwinger principle in this setting. As…