A Krein-Like Formula for Singular Perturbations of Self-Adjoint Operators and Applications

Andrea Posilicano

Given a self-adjoint operator $A:D(A)\subseteq\calH\to\calH$ and a continuous linear operator $τ:D(A)\to\X$ with Range$ τ'\cap\calH' ={0}$, $\X$ a Banach space, we explicitly const…