On endomorphisms with dense orbits (Q1321000)
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scientific article; zbMATH DE number 561301
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On endomorphisms with dense orbits |
scientific article; zbMATH DE number 561301 |
Statements
On endomorphisms with dense orbits (English)
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19 May 1994
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We consider the behavior of the iterates of continuous endomorphisms in \(\omega\) and characterize those having dense orbits. In particular, we show that such an endomorphism has the property mentioned above if and only if its transpose makes the dual of \(\omega\) a torsionfree \(\mathbb{C}[\lambda]\) module.
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iterates of continuous endomorphisms in \(\omega\)
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dense orbits
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torsionfree \(\mathbb{C}[\lambda]\) module
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dual
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