arXiv:1201.5993 Abstract | arXiv Analytics

arXiv:1201.5993 [math.FA]Abstract References Reviews Resources

Invariance of Fréchet Frames under Perturbation

Published 2012-01-28Version 1

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.

Comments: 10 pages

Categories: math.FA

Subjects: 42C15, 46A45

Keywords: fréchet frames, perturbation, invariance, frechet frame

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