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On the Ries inequality and the basicity of systems of root vector functions of $2m$th order Dirac-type operator with summable coefficient
E. J. Ibadov Azerbaijan State Pedagogical University Baku, 68 Uzeyir Hajibeyov str., Baku, AZ1000 Republic of Azerbaijan
Abstract:
We consider a Dirac-type operator of $2m$th order on a finite interval $G=(a,b).$ It is assumed that its coefficient is a complex-valued matrix function summable on $G=(a,b)$. A Riesz property criterion is established for a system of root vector functions, and a theorem on the equivalent basis property in $L_{p}^{2m} (G), \ 1<p<\infty $ is proved.
Keywords:
operator of Dirac-type, root vector function, Riesz inequality, equivalent basis property.
Received: 30.12.2023 Revised: 05.05.2024 Accepted: 26.06.2024
Citation:
E. J. Ibadov, “On the Ries inequality and the basicity of systems of root vector functions of $2m$th order Dirac-type operator with summable coefficient”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 11, 23–34
Linking options:
https://www.mathnet.ru/eng/ivm10032 https://www.mathnet.ru/eng/ivm/y2024/i11/p23
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Abstract page: | 21 | Full-text PDF : | 2 | References: | 10 | First page: | 3 |
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