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math.SP2009★ 2 cited
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…
math.SP2008★ 1 cited
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…
math.SP2006★ 8 cited
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…