Approximately Dual p-Approximate Schauder Frames

2021/10/19 by K. Mahesh Krishna, Krishna, K. Mahesh, P. Sam Johnson +1
Earth and Planetary Sciences · Engineering · Mathematics · #42C15 #Advanced Numerical Analysis Techniques #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Seismic Imaging and Inversion Techniques

paper · pdf · doi:10.48550/arxiv.2110.10121

openalex publication_date 2021/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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