Topological classification of affine operators on unitary and Euclidean spaces

Details Topological classification of affine operators on unitary and Euclidean spaces Topological classification of affine operators on unitary and Euclidean spaces

2010-10-16

arxiv.org/abs/1010.3380v1

Mathematics

General Topology

Scientific paper

10.1016/j.laa.2010.09.009

We classify affine operators on a unitary or Euclidean space U up to
topological conjugacy. An affine operator is a map f: U-->U of the form
f(x)=Ax+b, in which A: U-->U is a linear operator and b in U. Two affine
operators f and g are said to be topologically conjugate if hg=fh for some
homeomorphism h: U-->U.

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