Multiplication operator on a matrix polynomial

• Date: 1992
• Main Authors: Mikityuk , Ya. V., Al-Tunzhi , M., Микитюк , Я. В., Аль-Тунджі , М.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8184
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

It is proved that the study of a perturbed multiplication operator on a matrix polynomial in the space $L_2 (\mathbb{R}, \mathbb{C}^n)$ may be reduced to the study of a perturbed multiplication operator with independent variable in the space $L_2 (\mathbb{R}, \omega, \mathbb{C}^N)$ with weight $\ome...