2019
Том 71
№ 11

# Multiplication operator on a matrix polynomial

Abstract

It is proved that the study of a perturbed multiplication operator on a matrix polynomial in the space $L_2(ℝ, ℂ^n)$ may be reduced to the study of a perturbed multiplication operator with independent variable in the space $L_2(ℝ, ω, ℂ^N)$ with weight $ω$ satisfying the Mackenhaupt condition.

English version (Springer): Ukrainian Mathematical Journal 44 (1992), no. 9, pp 1179–1180.

Citation Example: Al'-Tundzhi M., Mikityuk Ya. V. Multiplication operator on a matrix polynomial // Ukr. Mat. Zh. - 1992. - 44, № 9. - pp. 1287–1289.

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