Invariance of Fréchet Frames under Perturbation

2012/01/28 by Asghar Rahimi, Rahimi, Asghar
Mathematics · #42C15 #46A45 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:42C15 #msc:46A45

paper · pdf · doi:10.48550/arxiv.1201.5993

10 pages

arxiv created 2012/01/28 · arxiv updated 2012/01/31

Abstract

Motivating the perturbations of frames in Hilbert and Banach spaces, in this paper we introduce the invariance of Fréchet frames under perturbation. Also we show that for any Fréchet spaces, there is a Fréchet frame and any element has a series expansion.

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