New identity on Parseval p-approximate Schauder frames and applications

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Date

2021

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Taru Publications

Abstract

A very useful identity for Parseval frames for Hilbert spaces was obtained by Balan, Casazza, Edidin, and Kutyniok. In this paper, we obtain a similar identity for Parseval p-approximate Schauder frames for Banach spaces which admits a homogeneous semi-inner product in the sense of Lumer-Giles. © 2021 Taru Publications.

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Keywords

42C15, 46B25, 46C50, Approximate Schauder frame, Frame, Frame identity

Citation

Journal of Interdisciplinary Mathematics, 2021, 24, 7, pp. 1751-1760

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