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Abstract <p> For the Dirac operator on a finite interval with integrable potential and separatedboundary conditions and the unperturbed operator with zero potential and the same boundaryconditions, we study whether the root function systems of these two operators are equivalent inthe scale of Lebesgue spaces. The results obtained are close to the classical theorems proved at theend of the last century by A.M. Gomilko, G.V. Radzievskii, and A.M. Sedletskii.</p>

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On the Equivalence of Bases Consisting of Root Functions of Dirac Operators with Separated Boundary Conditions

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • A. M. Savchuk,
  • I. V. Sadovnichaya

摘要

Abstract

For the Dirac operator on a finite interval with integrable potential and separatedboundary conditions and the unperturbed operator with zero potential and the same boundaryconditions, we study whether the root function systems of these two operators are equivalent inthe scale of Lebesgue spaces. The results obtained are close to the classical theorems proved at theend of the last century by A.M. Gomilko, G.V. Radzievskii, and A.M. Sedletskii.