Resumen de p -Dual frames and p -Riesz sequences in quasinormed spaces

José Alfonso López Nicolás

• The present contribution is aimed at obtaining new results in duality between-dual frames and p-Riesz sequences in quasinormed spaces with a normalized Schauder basis. We obtain two results which show the relationship of duality between these concepts. We split a quasinormed space into a topological sum of two subspaces and use the Schauder basis to establish a relationship between the p-dual frames of one of these subspaces and the p-Riesz sequences of the dual of the other one. In fact, the main results are stated in a lightly more general context.