Geodesic
Friedrichs extension of operators defined by linear Hamiltonian systems on unbounded interval
Mathematica Bohemica, Tome 135 (2010) no. 2, pp. 209-222

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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.
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.
DOI : 10.21136/MB.2010.140698
Classification : 34C10, 34L05, 47B25
Keywords: linear Hamiltonian system; Friedrichs extension; self-adjoint operator; recessive solution; quadratic functional; positivity conjoined basis 
Hilscher, Roman Šimon; Zemánek, Petr. Friedrichs extension of operators defined by linear Hamiltonian systems on unbounded interval. Mathematica Bohemica, Tome 135 (2010) no. 2, pp. 209-222. doi: 10.21136/MB.2010.140698
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