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arxiv: math/0203141 · v2 · submitted 2002-03-14 · 🧮 math.SP

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

classification 🧮 math.SP
keywords matrix-valuedoperatorspovzner--wienholtz-typeresultsself-adjointnesssturm--liouvillederivehalf-line
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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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