The Retro Banach Frames and their Applications in Conjugate Banach Spaces

Shipra

doi:https://doi.org/10.14445/22315373/IJMTT-V69I1P510

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 69 | Issue 1 | Year 2023 | Article Id. IJMTT-V69I1P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I1P510

The Retro Banach Frames and their Applications in Conjugate Banach Spaces

Shipra

Received	Revised	Accepted	Published
03 Dec 2022	05 Jan 2023	17 Jan 2023	31 Jan 2023

Citation :

Shipra, "The Retro Banach Frames and their Applications in Conjugate Banach Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 1, pp. 67-70, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I1P510

Abstract

In this research, the retro Banach frames are presented and different conditions are developed for the applications in the complex conjugate spaces. The retro Banach spaces are separable Banach spaces and used for the signal processing in the conjugate complex Banach spaces. Conventionally, the retro Banach spaces are applied to the Hilbert transform to be utilized in the conjugate Banach space. This research presents the further conditions for retro Banach frames that can be applied to the Wavelet and Gober’s transform such that this transform can be used in the conjugate complex Banach spaces. The current research discusses facts related to the form of Retro Banach Frames, Conjugate Banach Spaces, Linear Isomerism, Linear monomorphism, and Schauder basiss. It also helps in executing, extending, and modifying the Schauder frames to give a perfect characterization over the hesitation of Schauder frames.

Keywords

Frames, Banach space.

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