R. Tapdigoglu, M. Garayev, “New Proof of the Ostapenko–Tarasov Theorem”, Матем. заметки, 2024, том 115, выпуск 6,страницы 998

Статьи, опубликованные в английской версии журнала

New Proof of the Ostapenko–Tarasov Theorem

R. Tapdigoglu^ab, M. Garayev^c

^a Department of Mathematics, Azerbaijan State University of Economics (UNEC), Baku, Azerbaijan
^b Khazar University, Baku, Azerbaijan
^c Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia

Аннотация: We give a new proof of the Ostapenko–Tarasov unicellularity theorem for the classical Volterra integration operator on the space $C^{(n)}[0,1]$.

Ключевые слова: invariant subspace, Duhamel product, quasinilpotent operator, cyclic vector, invertible operator, unicellular operator.

Поступило: 01.01.2024
Исправленный вариант: 04.04.2024

Язык публикации: английский