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Asghar Rahimi

Asghar Rahimi

Academic rank: Professor
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Education: PhD.
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Research

Title
Woven Frames in Banach Spaces
Type
Presentation
Keywords
frame; woven frame; Banach frame; Vector-valued
Year
2019
Researchers Sara Basati ، Asghar Rahimi

Abstract

Banach frames are defined by straightforward generalization of (Hilbert space) frames. In this article, we would investigate that the perturbed frames is obtained as the image of a bounded, invertible operator of a given frame. Also, we show that if X; Y;Z are three Banach spaces having Banach frames, then the product X  Y  Z has an exact Banach frame. In this paper, we generalized this concept to the vector-valued frames. Also we give some fundemental properties of vector-valued weaving frames and generalized an example of this in the n-term.