Solution to a problem of Nirenberg concerning expanding maps

Ives, Dean; Preiss, David

doi:10.1090/proc/15214

Solution to a problem of Nirenberg concerning expanding maps
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by Dean Ives and David Preiss PDF

Proc. Amer. Math. Soc. 149 (2021), 301-310 Request permission

Abstract:

By constructing a map of a separable Hilbert space into itself that is continuous, expanding, nonsurjective, and equal to the identity on the unit ball we answer a problem stated by Louis Nirenberg.

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