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Critical and Subcritical Jacobi Operators Defined as Friedrichs Extensions

✍ Scribed by F. Gesztesy; Z. Zhao


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
672 KB
Volume
103
Category
Article
ISSN
0022-0396

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✦ Synopsis


Motivated by a treatment of the Toda lattice and Kac-van Moerbeke equations we study critical and subcritical 2nd-order finite difference (Jacobi) operators (T) on (\mathbb{Z}). In the course of our analysis we also derive an explicit characterization of the Friedrichs extension (T_{F}) of (T) in terms of principal solutions (u_{+})of (T u=0) near (\pm \infty .1993) Academic Press, Inc.