Finite rank perturbations and solutions to the operator Riccati equation
Finite rank perturbations and solutions to the operator Riccati equation
We consider an off-diagonal self-adjoint finite rank perturbation of a self-adjoint operator in a complex separable Hilbert space H 0 ⊕ H 1 , where H 1 is finite dimensional.We describe the singular spectrum of the perturbed operator and establish a connection with solutions to the operator Riccati equation.In particular, …