Approximately Dual p-Approximate Schauder Frames
Functional Analysis
2021-10-20 v1
Abstract
Difficulty in the construction of dual frames for a given Hilbert space led to the introduction of approximately dual frames in Hilbert spaces by Christensen and Laugesen. It becomes even more difficult in Banach spaces to construct duals. For this purpose, we introduce approximately dual frames for a class of approximate Schauder frames for Banach spaces and develop basic theory. Approximate duals for this subclass is completely characterized and its perturbation is also studied.
Keywords
Cite
@article{arxiv.2110.10121,
title = {Approximately Dual p-Approximate Schauder Frames},
author = {K. Mahesh Krishna and P. Sam Johnson},
journal= {arXiv preprint arXiv:2110.10121},
year = {2021}
}
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10 pages