PERTURBATION OF P-APPROXIMATE SCHAUDER FRAMES FOR SEPARABLE BANACH SPACES

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2021

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Poincare Publishers

Abstract

Paley-Wiener theorems 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 result gives Paley-Wiener theorem for frames for Hilbert spaces. © Poincare Publishers.

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Keywords

and phrases, Communicated by, Frame, Approximate Schauder Frame, Paley-Wiener theorem, Perturbation, Lalit K, Vashisht

Citation

Poincare Journal of Analysis and Applications, 2021, 8, 1(II), pp. 15-24

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