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Zbl 0807.47004
Gesztesy, F.; Zhao, Z.
Critical and subcritical Jacobi operators defined as Friedrichs extensions.
(English)
[J] J. Differ. Equations 103, No.1, 68-93 (1993). ISSN 0022-0396

Motivated by a treatment of the Toda lattice and Kac- von Moerbeke equations the authors study critical and subcritical 2nd-order finite difference (Jacobi) operators $T$ on $\bbfZ$. In the course of their analysis they derive an explicit characterization of the Friedrichs extension $T\sb F$ of $T$ in terms of principal solutions $u\sb \pm$ of $Tu= 0$ near $\pm\infty$.
MSC 2000:
*47A20 Extensions and related concepts of linear operators

Keywords: Toda lattice; Kac-von Moerbeke equation; critical and subcritical 2nd- order finite difference operators; Friedrichs extension

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