Symmetrical Differential Operators and Their Friedrichs Extension
β Scribed by M. Moller; A. Zettl
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 526 KB
- Volume
- 115
- Category
- Article
- ISSN
- 0022-0396
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β¦ Synopsis
Symmetric operator realizations of ordinary regular differential expressions are characterized explicitly by boundary conditions. For any such operator which is bounded below, the boundary condition determining its Friedrichs extension is identified. O 1995 Academic Press, Inc.
π SIMILAR VOLUMES
## Abstract A general construction for the Friedrichs extension of symmetric semiβbounded block operators with not necessarily bounded entries, acting in the product of Hilbert spaces has been given by Konstantinov and Mennicken via the form There the entry __A__ was assumed to be essentially sel
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