Isometric approximation property of unbounded sets

Details Isometric approximation property of unbounded sets Isometric approximation property of unbounded sets

2002-01-04

arxiv.org/abs/math/0201023v1

Mathematics

Functional Analysis

15 pages

Scientific paper

Necessary and sufficient quantitative geometric conditions are given for an
unbounded set A in a euclidean space R^n to have the following property with a
given c > 0: For every s > 0 and for every s-nearisometry f: A -> R^n there is
an isometry T: A -> R^n such that |Tx - fx| \le cs for all x in A.

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