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

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

2002-03-14

arxiv.org/abs/math/0203141v2

Mathematics

Spectral Theory

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

Scientific paper

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 $L^2((a,b);Rdx)^m$, $m\in\bbN$,
for $(a,b)$ a half-line or $\bbR$.

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