Invariance of Fréchet frames under perturbation
Journal: Sahand Communications in Mathematical Analysis (Vol.1, No. 1)Publication Date: 2014-02-20
Authors : Asghar Rahimi;
Page : 41-45
Keywords : Frame; Banach frame; Fr'echet frames; Fr'echet spaces; Perturbation; F-bounded.;
- Invariance of Fréchet frames under perturbation
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- Effect of Height on Retrofitting of Existing Steel Frames Using Buckling Restrained Brace Frames
- Approximate Duals of $g$-frames and Fusion Frames in Hilbert $C^ast-$modules
- Duals of Some Constructed $*$-Frames by Equivalent $*$-Frames
Abstract
Motivating the perturbations of frames in Hilbert and Banach spaces, in this paper we introduce the invariance of Fr'echet frames under perturbation. Also we show that for any Fr'echet spaces, there is a Fr'echet frame and any element in these spaces has a series expansion.
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