Email this article On the Riesz Inequality and the Basis Property of Systems of Root Vector Functions of a Discontinuous Dirac Operator
- Authors: Kurbanov V.M.1,2, Buksaeva L.Z.2
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Affiliations:
- Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
- Azerbaijan State Pedagogical University
- Issue: Vol 55, No 8 (2019)
- Pages: 1045-1055
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/155118
- DOI: https://doi.org/10.1134/S0012266119080056
- ID: 155118
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Abstract
We consider a discontinuous Dirac operator on the interval (0, 2π). It is assumed that its coefficient (potential) is a complex-valued matrix function integrable on (0, 2π). Criteria are established for the Riesz and unconditional basis properties of the system of root vector functions in L22(0, 2π). A theorem about the equivalent basis property in Lp2(0, 2π), 1 < p > ∞, is proved.
About the authors
V. M. Kurbanov
Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences; Azerbaijan State Pedagogical University
Author for correspondence.
Email: q.vali@yahoo.com
Azerbaijan, Baku, AZ, 1141; Baku, AZ, 1000
L. Z. Buksaeva
Azerbaijan State Pedagogical University
Author for correspondence.
Email: leylabuksayeva.80@yahoo.com
Azerbaijan, Baku, AZ, 1000
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