1. On various Riesz-dual sequences for Schauder frames
- Author
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Ali Reza Neisi and Mohammad Sadegh Asgari
- Subjects
Mathematics ,Markushevich basis ,Riesz basis ,Schauder frame ,Riesz-dual sequence ,Science (General) ,Q1-390 ,Social sciences (General) ,H1-99 - Abstract
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.
- Published
- 2020
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