A criterion for essential self-adjointness of a symmetric operator defined by some infinite hermitian matrix with unbounded entries

Tomasz Komorowski

We shall consider a double infinite, hermitian, complex entry matrix $A=[a_{x,y}{]}_{x,y\in \mathbb{Z}}$, with $a_{x,y}^{\ast }=a_{y,x}$, $x,y\in \mathbb{Z}$. Assuming that the matrix is almos…