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Determinacy in a class of germs on a reflexive Banach space

Published online by Cambridge University Press:  24 October 2008

R. J. Magnus
Affiliation:
University of Iceland, Dunhaga 3, Reykjavik

Extract

Given Banach spaces X and Y let (X, Y) be the space of germs at 0 of CY-valued mappings defined on neighbourhoods of 0 in X. Let j(X, Y) be those f (X, Y) such that the ith derivative f(i)(0) = 0 for i = 0,1,…, j – 1. Abbreviations: (X) for (X, ℝ) and j(X) for j(X, ℝ). For ease of exposition germs will often be replaced by mappings which ‘represent’ them.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1978

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References

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