R.Simon Hilscher, P.Zemanek

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

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.


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Last change: December 1, 2009. (c) Roman Hilscher