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

Given Banach spaces X and Y let (X, Y) be the space of germs at 0 of C∞ Y-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
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 84 , Issue 2 , September 1978 , pp. 293 - 302
Copyright
Copyright © Cambridge Philosophical Society 1978

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References

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