Shadowing in actions of some Abelian groups

Sergei Yu. Pilyugin; Sergei B. Tikhomirov

Sergei Yu. Pilyugin ; Sergei B. Tikhomirov

Fundamenta Mathematicae, Tome 177 (2003), p. 83-96 / Harvested from The Polish Digital Mathematics Library

Résumé

We study shadowing properties of continuous actions of the groups $ℤ^{p}$ and $ℤ^{p} \times ℝ^{p}$ . Necessary and sufficient conditions are given under which a linear action of $ℤ^{p}$ on $ℂ^{m}$ has a Lipschitz shadowing property.

Publié le : 2003-01-01

Zbl 1047.37014

EUDML-ID : urn:eudml:doc:282823

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     author = {Sergei Yu. Pilyugin and Sergei B. Tikhomirov},
     title = {Shadowing in actions of some Abelian groups},
     journal = {Fundamenta Mathematicae},
     volume = {177},
     year = {2003},
     pages = {83-96},
     zbl = {1047.37014},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm179-1-7}
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Sergei Yu. Pilyugin; Sergei B. Tikhomirov. Shadowing in actions of some Abelian groups. Fundamenta Mathematicae, Tome 177 (2003) pp. 83-96. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm179-1-7/