Friedrichs extension of operators defined by linear Hamiltonian systems on unbounded interval
| Authors | |
|---|---|
| Year of publication | 2010 |
| Type | Article in Periodical |
| Magazine / Source | Mathematica Bohemica |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Linear Hamiltonian system; Friedrichs extension; Self-adjoint operator; Recessive solution; Quadratic functional; Positivity; Conjoined basis |
| Attached files | |
| Description | 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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