Riesz Basicity for General Systems of Functions

الملخص EN

In this paper we find the general conditions for a complete biorthogonal conjugate system to form a Riesz basis.

We show that if a complete biorthogonal conjugate system is uniformly bounded and its coefficient space is solid, then the system forms a Riesz basis.

We also construct affine Riesz bases as an application to the main result.