On the Properties of the Root Vector Function Systems of a th-Order Dirac Type Operator with an Integrable Potential

Abstract

We consider a Dirac type operator with matrix coefficients. Estimates for the root vector functions are established, and criteria for the Bessel property and the unconditional basis property of the root vector function systems of this operator in the space L2m2(G) , where G=(a,b)⊂R is a finite interval, are obtained.