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

José Alfonso López Nicolás ^[1]
1. [1] Consejería de Educación, Cultura y Universidades de la Región de Murcia, España
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 61, Nº. 2, 2020, págs. 291-301
Idioma: inglés
DOI: 10.33044/revuma.v61n2a07
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Resumen
- 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.