A remark on expanding maps-Reference-Cited by-同舟云学术

A remark on expanding maps

Published:1982 Issue:4 Volume:85 Page:583-586
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Chang Kung Ching,Li Shu Jie

Abstract

In this paper we discuss the following problem stated by L. Nirenberg: Let T T be an expanding map H → H H \to H ( H H is a Hilbert space) with T ( 0 ) = 0 T(0) = 0 . Suppose T T maps a neighborhood of the origin onto a neighborhood of the origin. Does T T map H H onto H H ? We answer positively the problem when T T is differentiable.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1982-085-04/S0002-9939-1982-0660608-4/S0002-9939-1982-0660608-4.pdf

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