Friedrichs extension of operators defined by symmetric banded matrices
The authors study the operator \({\mathcal A}: l^2\to l^2\) defined by a \((2n+1)\)-diagonal infinite symmetric matrix. Using the recessive system of solutions of a certain associated \(2n\)-order Sturm-Liouville difference equation, they characterize the domain of the Friedrichs extension of \({\mathcal A}\).
scientific article; zbMATH DE number 5549254