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Proceedings of the Royal Society of Edinburgh: Section A Mathematics (2003), 133 : 747-758 Cambridge University Press
doi:10.1017/S0308210500002651
Published online by Cambridge University Press 12 Jul 2007
 
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Proceedings of the Royal Society of Edinburgh: Section A Mathematics (2003), 133:747-758 Royal Society of Edinburgh Scotland Foundation
Copyright © Royal Society of Edinburgh 2003
doi:10.1017/S0308210500002651

Research Article

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

Steve Clarka1 and Fritz Gesztesya2

a1 Department of Mathematics and Statistics, University of Missouri-Rolla, Rolla, MO 65409, USA (sclark@umr.edu)
a2 Department of Mathematics, University of Missouri, Columbia, MO 65211, USA (fritz@math.missouri.edu)
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Abstract

We derive Povzner–Wienholtz-type self-adjointness results for m × m matrix-valued Sturm–Liouville operators

S0308210500002651disp001
in L2((a, b);R dx)m, m xs2208 N, for (a, b) a half-line or R.

(Received March 28 2002)

(Accepted August 19 2002)

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