In this article, subsets of N that can arise as sets of periods of linear operators on the spaces C n , R n and l 2 are characterized.
On the measure of the set of periodic points of the billiard
โ Scribed by Ya. B. Vorobets
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1994
- Tongue
- English
- Weight
- 475 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0001-4346
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๐ SIMILAR VOLUMES
## It is shown that the invariant set of an c-contractive map f on a compact metric space X is the same as the set of periodic points of f. Furthermore, the set of periodic points of f is finite and, only assuming that X is locally compact, there is at most one periodic point in each component X.
Let M be the collection of all KKM mappings G and denote by F(G) the set of all KKM points of G. In this paper, we prove that there exists a dense residual subset Q of M such that for each G โ Q; G is stable and there exists at least one essential component of F(G) for each G โ M .