Generalization of Lax Equivalence Theorem on Unbounded Self-adjoint Operators with Applications to Schrödinger Operators

Yidong Luo

Define $A$ a unbounded self-adjoint operator on Hilbert space $X$. Let $\{A_n\}$ be its resolvent approximation sequence with closed range $ \mathcal{R}(A_n) (n \in \mathrm…