On Povzner--Wienholtz-type Self-Adjointness Results for Matrix-Valued Sturm--Liouville Operators

Abstract

We derive Povzner--Wienholtz-type self-adjointness results for $m\times m$ matrix-valued Sturm--Liouville operators $T=R^{-1}\big[-\f{d}{dx}P\f{d}{dx}+Q\big]$ in $L^2((a,b);Rdx{)}^m$, $m\in \mathbb{N}$, for $(a,b)$ a half-line or $\mathbb{R}$.

LaTeX, 11 pages, an updated and corrected version to appear in Proc. Roy. Soc. Edinburgh A