On the Riesz Inequality and the Basicity of Systems of Root Vector Functions of 2mth-Order Dirac-Type Operator with Summable Coefficient

We consider a Dirac-type operator of \(2m\) th order on a finite interval \(G = (a,b).\) It is assumed that its coefficient is a complex-valued matrix function summable on \(G = (a,b)\) . A Riesz property criterion is established for a system of root vector functions, and a theorem on the equivalent basis property in \(L_{p}^{{2m}}(G)\) , \(1 < p < \infty \) , is proved.