Add to ORKGABSTRACT. We study the spectral properties of Jacobi matrices. By using ”higher order ” trace formulae we obtain a result relating the prop-erties 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 the-orems are generalizations of a recent result of R. Killip and B. Simon [17]. 1
A square symmetric matrix A is said bisymmetric if AS=SA, whereS is the matrix with ones along...
AbstractA proof is given for the existence and uniqueness of a correspondence between two pairs of s...
AbstractThe parametrization of a strongly regular block Hankel matrix in terms of certain block entr...
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...
Let us consider a following Jacobi matrix, A1) This Jacobi matrix differs slightly from that of •ml]...
We announce three results in the theory of Jacobi matrices and Schrödinger operators. First, we give...
AbstractIn this article, we relate the properties of elements of a Jacobi matrix from certain class ...
We discuss the proof of and systematic application of Case's sum rules for Jacobi matrices. Of speci...
Abstract. The paper deals with two types of inverse spectral problems for the class of generalized J...
We study spectral properties of irreducible tridiagonal k−Toeplitz ma-trices and certain matrices wh...
We show how to construct, from certain spectral data, a discrete inner product for which the associa...
Among the most interesting results in spectral theory are those that give equivalent sets of conditi...
AbstractLet Ej be the eigenvalues outside [-2,2] of a Jacobi matrix with an-1∈ℓ2 and bn→0, and μ′ th...
The authors state and derive a completely explicit trace formula for double coset operators acting o...
A square symmetric matrix A is said bisymmetric if AS=SA, whereS is the matrix with ones along...
AbstractA proof is given for the existence and uniqueness of a correspondence between two pairs of s...
AbstractThe parametrization of a strongly regular block Hankel matrix in terms of certain block entr...
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...
Let us consider a following Jacobi matrix, A1) This Jacobi matrix differs slightly from that of •ml]...
We announce three results in the theory of Jacobi matrices and Schrödinger operators. First, we give...
AbstractIn this article, we relate the properties of elements of a Jacobi matrix from certain class ...
We discuss the proof of and systematic application of Case's sum rules for Jacobi matrices. Of speci...
Abstract. The paper deals with two types of inverse spectral problems for the class of generalized J...
We study spectral properties of irreducible tridiagonal k−Toeplitz ma-trices and certain matrices wh...
We show how to construct, from certain spectral data, a discrete inner product for which the associa...
Among the most interesting results in spectral theory are those that give equivalent sets of conditi...
AbstractLet Ej be the eigenvalues outside [-2,2] of a Jacobi matrix with an-1∈ℓ2 and bn→0, and μ′ th...
The authors state and derive a completely explicit trace formula for double coset operators acting o...
A square symmetric matrix A is said bisymmetric if AS=SA, whereS is the matrix with ones along...
AbstractA proof is given for the existence and uniqueness of a correspondence between two pairs of s...
AbstractThe parametrization of a strongly regular block Hankel matrix in terms of certain block entr...