2017
Том 69
№ 6

All Issues

Jacobi operators and orthonormal matrix-valued polynomials. I

Hatamleh R., Zolotarev V. A.


Abstract

It is shown that every self-adjoint operator in a separable Hilbert space is unitarily equivalent to a block Jacobi operator. A system of orthogonal operator-valued polynomials is constructed.

Citation Example: Hatamleh R., Zolotarev V. A. Jacobi operators and orthonormal matrix-valued polynomials. I // Ukr. Mat. Zh. - 2017. - 69, № 2. - pp. 228-239.