Invariance of Fréchet Frames under Perturbation

Details Invariance of Fréchet Frames under Perturbation Invariance of Fréchet Frames under Perturbation

2012-01-28

arxiv.org/abs/1201.5993v1

Mathematics

Functional Analysis

10 pages

Scientific paper

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 has a series expansion.

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