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Keywords:
linear Hamiltonian system; Friedrichs extension; self-adjoint operator; recessive solution; quadratic functional; positivity conjoined basis
linear Hamiltonian system; Friedrichs extension; self-adjoint operator; recessive solution; quadratic functional; positivity conjoined basis
Summary:
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.
References:
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