Topological classification of affine operators on unitary and Euclidean spaces

Tetiana Budnitska

doi:10.1016/j.laa.2010.09.009

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arXiv · 1010.3380

Topological classification of affine operators on unitary and Euclidean spaces

Tetiana Budnitska

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Abstract

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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BibTeX RIS

Tetiana Budnitska. 2010-10-16. Topological classification of affine operators on unitary and Euclidean spaces. https://doi.org/10.1016/j.laa.2010.09.009

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