TY - JOUR AU - R. Hatamleh AU - V. A. Zolotarev PY - 2017/02/25 Y2 - 2024/03/29 TI - Jacobi operators and orthonormal matrix-valued polynomials. I JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 69 IS - 2 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1688 AB - 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. ER -