On time dependent orthogonal polynomials on the unit circle

• Date: 1994
• Main Authors: Ben-Artzi, A., Gohberg, I. C., Бен-Артзі, А., Гохберг, І. Ц.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5767
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Two index formulas for operators defined by infinite band matrices are proved. These results may be interpreted as a generalization of the classical theorem of M. G. Krein for orthogonal polynomials. The proofs are based on dichotomy and nonstationary inertia theory.