Bounds on variation of spectral subspaces under J-self-adjoint perturbations

S. Albeverio, A. K. Motovilov, A. A. Shkalikov

Let $A$ be a self-adjoint operator on a Hilbert space $\fH$. Assume that the spectrum of $A$ consists of two disjoint components ${\sigma }_0$ and ${\sigma }_1$. Let $V$ be a bounded operator on $…