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Matematicheskie Zametki, 2024, Volume 115, Issue 6, paper published in the English version journal (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.
Funding agency Grant number
Research Support Project King Saud University RSPD2024R1056
The work of the first author was supported by ongoing institutional funding. The work of second author was supported by the Research Support Project no. RSPD2024R1056, King Saud University, Riyadh, Saudi Arabia.
Received: 01.01.2024
Revised: 04.04.2024
English version:
Mathematical Notes, 2024, Volume 115, Issue 6, Pages 998–1005
DOI: https://doi.org/10.1134/S0001434624050341
Bibliographic databases:
Document Type: Article
Language: English
Citation: R. Tapdigoglu, M. Garayev, “New Proof of the Ostapenko–Tarasov Theorem”, Math. Notes, 115:6 (2024), 998–1005
Citation in format AMSBIB
\Bibitem{TapGar24}
\by R.~Tapdigoglu, M.~Garayev
\paper New Proof of the Ostapenko--Tarasov Theorem
\jour Math. Notes
\yr 2024
\vol 115
\issue 6
\pages 998--1005
\mathnet{http://mi.mathnet.ru/mzm14408}
\crossref{https://doi.org/10.1134/S0001434624050341}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4781283}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85198513031}
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