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Differential Equations

, Volume 55, Issue 8, pp 1045–1055 | Cite as

On the Riesz Inequality and the Basis Property of Systems of Root Vector Functions of a Discontinuous Dirac Operator

  • V. M. KurbanovEmail author
  • L. Z. BuksaevaEmail author
Ordinary Differential Equations

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 L 2 2 (0, 2π). A theorem about the equivalent basis property in L p 2 (0, 2π), 1 < p > ∞, is proved.

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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Institute of Mathematics and Mechanics, Azerbaijan National Academy of SciencesBakuAzerbaijan
  2. 2.Azerbaijan State Pedagogical UniversityBakuAzerbaijan

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