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Friedrichs extension of operators defined by linear Hamiltonian systems on unbounded interval

Roman Šimon Hilscher, Petr Zemánek (2010)

Mathematica Bohemica

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.

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