Mat. Zametki, 2024 Volume 115, Issue 6, Pages 998–1005
(Mi mzm14408)
Papers published in the English version of the journal
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
Abstract:
We give a new proof of the Ostapenko–Tarasov unicellularity theorem for the
classical Volterra integration operator on the space
$C^{(n)}[0,1]$ .
Keywords:
invariant subspace, Duhamel product, quasinilpotent operator, cyclic vector,
invertible operator, unicellular operator. Received: 01.01.2024
Revised: 04.04.2024
Language: English
© , 2025