$p$-Dual frames and $p$-Riesz sequences in quasinormed spaces
DOI:
https://doi.org/10.33044/revuma.v61n2a07Abstract
The present contribution is aimed at obtaining new results in duality between $p$-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.
Downloads
Downloads
Published
Issue
Section
License
Copyright (c) 2024 José Alfonso López Nicolás
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal. The Journal may retract the paper after publication if clear evidence is found that the findings are unreliable as a result of misconduct or honest error.
