R. Simon Hilscher, P. Zemanek, Department of Mathematics and Statistics, Faculty of Science, Masaryk University, Kotlarska 2, CZ-611 37 Brno, Czech Republic, e-mail: hilscher@math.muni.cz, zemanek@math.muni.cz
Abstract: In this paper we consider a linear operator on an unbounded interval associated with a matrix linear Hamiltonian system. We characterize its Friedrichs extension in terms of the recessive system of solutions at infinity. This generalizes a similar result obtained by Marletta and Zettl for linear operators defined by even order Sturm-Liouville differential equations.
Keywords: linear Hamiltonian system, Friedrichs extension, self-adjoint operator, recessive solution, quadratic functional, positivity conjoined basis
Classification (MSC 2010): 47B25, 34L05, 34C10
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