Multiplication operator on a matrix polynomial

Authors

  • Ya. V. Mikityuk Львів. ун-т
  • M. Al-Tunzhi Львів. ун-т

Keywords:

-

Abstract

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 $\omega$ satisfying the Mackenhaupt condition.

References

Гарнетт Дж. Ограниченные аналитические функции.— М. : Мир, 1984.— 469 с.

Като Т. Теория возмущений линейных операторов.— М. : Мир, 1972.— 740 с.

Downloads

Published

07.10.1992

Issue

Vol. 44 No. 9 (1992)

Section

Short communications

How to Cite

Mikityuk , Ya. V., and M. Al-Tunzhi. “Multiplication Operator on a Matrix Polynomial ”. Ukrains’kyi Matematychnyi Zhurnal, vol. 44, no. 9, Oct. 1992, pp. 1287-9, https://umj.imath.kiev.ua/index.php/umj/article/view/8184.