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JOURNALS // Matematicheskie Zametki // Archive

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. Tapdigogluab, M. Garayevc

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


 English version:
Mathematical Notes, 2024, 115:6, 998–1005

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© Steklov Math. Inst. of RAS, 2025