A polynomial diffeomorphism of a ball without invariant measures (Q750982)
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scientific article; zbMATH DE number 4176061
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A polynomial diffeomorphism of a ball without invariant measures |
scientific article; zbMATH DE number 4176061 |
Statements
A polynomial diffeomorphism of a ball without invariant measures (English)
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1989
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Let S be the closed unit ball in an infinite dimensional separable Hilbert space H. An example of a diffeomorphism F: \(S\to S\) without finite non-zero invariant Borel measures is presented. F is also without fixed points and even for no compact set K the inclusion F(K)\(\subset K\) holds. The example of F is simpler then those previously known homeomorphisms without fixed points.
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invariant measure
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diffeomorphism
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fixed points
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