On some stability results of frame atomic decompositions

Details On some stability results of frame atomic decompositions On some stability results of frame atomic decompositions

2005-02-10

arxiv.org/abs/math/0502205v1

Mathematics

Functional Analysis

Scientific paper

This paper is concerned with the implications of sufficient conditions
ensuring that a perturbation of a frame is again a frame. We emphasize how
stability of frames is fundamental for numerical applications and we discuss in
particular the connection between stability conditions and localization
principles for frame atomic decompositions in Banach spaces.

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