On various Riesz-dual sequences for Schauder frames

In this paper, we introduce various definitions of R-duals, to be called R-duals of type I, II, which leads to a generalization of the duality principle in Banach spaces. A basic problem of interest in connection with the study of R-duals in Banach spaces is that of characterizing those R-duals whic...

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Detalles Bibliográficos
Autores principales: Neisi, Ali Reza, Asgari, Mohammad Sadegh
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2020
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7509835/
https://www.ncbi.nlm.nih.gov/pubmed/33005789
http://dx.doi.org/10.1016/j.heliyon.2020.e04963
Descripción
Sumario:In this paper, we introduce various definitions of R-duals, to be called R-duals of type I, II, which leads to a generalization of the duality principle in Banach spaces. A basic problem of interest in connection with the study of R-duals in Banach spaces is that of characterizing those R-duals which can essentially be regarded as M-basis. We give some conditions under which an R-dual sequence to be an M-basis for X.

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