Title

Trace Formulas and Borg-type Theorems for Matrix-valued Jacobi and Dirac Finite Difference Operators

Abstract

Borg-type uniqueness theorems for matrix-valued Jacobi operators H and supersymmetric Dirac difference operators D are proved. More precisely, assuming reflectionless matrix coefficients A,B in the self-adjoint Jacobi operator H=AS++A-S-+B (with S± the right/left shift operators on the lattice View the MathML source) and the spectrum of H to be a compact interval [E-,E+], E-

Department(s)

Mathematics and Statistics

Keywords and Phrases

Borg theorems; Dirac difference operators

Library of Congress Subject Headings

Dirac equation
Jacobi operators
Trace formulas

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2005 Elsevier, All rights reserved.


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