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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…
math.SP2006
On Krein's Example
Vadim Kostrykin, Konstantin A. Makarov
In his 1953 paper [Matem.~Sbornik \textbf{33} (1953), 597 -- 626] Mark Krein presented an example of a symmetric rank one perturbation of a self-adjoint operator such that for all…