- 02-241 A.Laptev, S.Naboko, O.Safronov
- On new relations between spectral
properties of Jacobi matrices and their coefficients
May 26, 02
(auto. generated ps),
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Abstract. We study the spectral properties of Jacobi
By using "higher order" trace formulae we obtain
a result relating the properties of the elements
of Jacobi matrices and the corresponding spectral measures.
Complicated expressions for traces of some
operators can be magically simplified allowing us to apply
induction arguments. Our theorems are generalizations
of a recent result of R. Killip and B. Simon.