A remark on expanding maps
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- by Kung Ching Chang and Shu Jie Li PDF
- Proc. Amer. Math. Soc. 85 (1982), 583-586 Request permission
Abstract:
In this paper we discuss the following problem stated by L. Nirenberg: Let $T$ be an expanding map $H \to H$ ($H$ is a Hilbert space) with $T(0) = 0$. Suppose $T$ maps a neighborhood of the origin onto a neighborhood of the origin. Does $T$ map $H$ onto $H$? We answer positively the problem when $T$ is differentiable.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 85 (1982), 583-586
- MSC: Primary 47H15; Secondary 58C15
- DOI: https://doi.org/10.1090/S0002-9939-1982-0660608-4
- MathSciNet review: 660608