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Jacobi operators and orthonormal matrix-valued polynomials. I

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.

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Bibliographic Details
Date:	2017
Main Authors:	Hatamleh, R., Zolotarev, V. A., Хатамлех, Р., Золотарьов, В. А.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2017
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1688
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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