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Papers published in the English version of the journal

New Proof of the Ostapenko–Tarasov Theorem

R. Tapdigoglu^ab, M. Garayev<sup>c

a</sup> 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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