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On Povzner–Wienholtz-type self-adjointness results for matrix-valued Sturm–Liouville operators

Published online by Cambridge University Press:  12 July 2007

Steve Clark
Affiliation:
Department of Mathematics and Statistics, University of Missouri-Rolla, Rolla, MO 65409, USA (sclark@umr.edu)
Fritz Gesztesy
Affiliation:
Department of Mathematics, University of Missouri, Columbia, MO 65211, USA (fritz@math.missouri.edu)

Abstract

We derive Povzner–Wienholtz-type self-adjointness results for m × m matrix-valued Sturm–Liouville operators in L2((a, b);R dx)m, m ∈ N, for (a, b) a half-line or R.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2003

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