On Riesz property and equivalent basis property of the system of root vector functions of Dirac-type operator

Abstract

Dirac-type operator is considered on the finite interval G = (a, b). It is assumed that its coefficient (potential) is a complex-valued matrix function summable on G = (a, b). Riesz property criterion for a system of root vector functions is established and theorem on equivalent basis property inKeywords. Dirac-type operator • root vector function • Riesz property • equivalent basis property.