Add to ORKGWe discuss the proof of and systematic application of Case's sum rules for Jacobi matrices. Of special interest is a linear combination of two of his sum rules which has strictly positive terms. Among our results are a complete classification of the spectral measures of all Jacobi matrices J for which J - J(0) is Hilbert-Schmidt, and a proof of Nevai's conjecture that the Szego condition holds if J - J(0) is trace class
For full-line Jacobi matrices, Schrödinger operators, and CMV matrices, we show that being reflectio...
AbstractIt is shown that if two infinite Jacobi matrices of type D have the same spectrum {λi}∞1 and...
AbstractWe investigate the spectral properties of a class of Jacobi matrices in which the subdiagona...
We discuss the proof of and systematic application of Case's sum rules for Jacobi matrices. Of speci...
AbstractIn this article, we relate the properties of elements of a Jacobi matrix from certain class ...
We study the Case sum rules, especially C_0, for general Jacobi matrices. We establish situations wh...
Abstract We discuss the proof of and systematic application of Case's sum rules for Jacobi matr...
AbstractWe use the classical results of Baxter and Golinskii–Ibragimov to prove a new spectral equiv...
AbstractWe consider Jacobi matrices whose essential spectrum is a finite union of closed intervals. ...
AbstractThe Green's function method used by Case and Kac is extended to include unbounded Jacobi mat...
AbstractCMV matrices are the unitary analog of Jacobi matrices; we review their general theory
AbstractUsing the conjugate operator method of Mourre we study the spectral theory of a class of unb...
Let e ⊂ R be a finite union of disjoint closed intervals. We study measures whose essential support ...
We consider Jacobi matrices whose essential sectrum is a finite union of closed intervals. We focus ...
AbstractA special class of generalized Jacobi operators which are self-adjoint in Krein spaces is pr...
For full-line Jacobi matrices, Schrödinger operators, and CMV matrices, we show that being reflectio...
AbstractIt is shown that if two infinite Jacobi matrices of type D have the same spectrum {λi}∞1 and...
AbstractWe investigate the spectral properties of a class of Jacobi matrices in which the subdiagona...
We discuss the proof of and systematic application of Case's sum rules for Jacobi matrices. Of speci...
AbstractIn this article, we relate the properties of elements of a Jacobi matrix from certain class ...
We study the Case sum rules, especially C_0, for general Jacobi matrices. We establish situations wh...
Abstract We discuss the proof of and systematic application of Case's sum rules for Jacobi matr...
AbstractWe use the classical results of Baxter and Golinskii–Ibragimov to prove a new spectral equiv...
AbstractWe consider Jacobi matrices whose essential spectrum is a finite union of closed intervals. ...
AbstractThe Green's function method used by Case and Kac is extended to include unbounded Jacobi mat...
AbstractCMV matrices are the unitary analog of Jacobi matrices; we review their general theory
AbstractUsing the conjugate operator method of Mourre we study the spectral theory of a class of unb...
Let e ⊂ R be a finite union of disjoint closed intervals. We study measures whose essential support ...
We consider Jacobi matrices whose essential sectrum is a finite union of closed intervals. We focus ...
AbstractA special class of generalized Jacobi operators which are self-adjoint in Krein spaces is pr...
For full-line Jacobi matrices, Schrödinger operators, and CMV matrices, we show that being reflectio...
AbstractIt is shown that if two infinite Jacobi matrices of type D have the same spectrum {λi}∞1 and...
AbstractWe investigate the spectral properties of a class of Jacobi matrices in which the subdiagona...