Multiplication operator on a matrix polynomial
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...
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| Дата: | 1992 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1992
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/8184 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | 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. |
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