Perturbation of p-approximate Schauder frames for separable Banach spaces

2020/12/05 by K. Mahesh Krishna, Krishna, K. Mahesh, P. Sam Johnson +1
Mathematics · #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2012.03054

Abstract

Paley-Wiener theorem for frames for Hilbert spaces, Banach frames, Schauder frames and atomic decompositions for Banach spaces are known. In this paper, we derive Paley-Wiener theorem for p-approximate Schauder frames for separable Banach spaces. We show that our results give Paley-Wiener theorem for frames for Hilbert spaces.

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