- Tytuł:
- Algebraic Separation and Shadowing of Arbitrary Sets
- Autorzy:
-
Grzybowski, Jerzy
Pallaschke, Diethard
Urbański, Ryszard - Powiązania:
- https://bibliotekanauki.pl/articles/1912878.pdf
- Data publikacji:
- 2013
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
separation
geometry of convex sets
Demyanov difference
data-classification - Opis:
- In this paper we consider a generalization of the separation technique proposed in [10,4,7] for the separation of finitely many compact convex sets \(A_i,~i \in I \) by another compact convex set \(S\) in a locally convex vector space to arbitrary sets in real vector spaces. Then we investigate the notation of shadowing set which is a generalization of the notion of separating set and construct separating sets by means of a generalized Demyanov-difference in locally convex vector spaces.
- Źródło:
-
Commentationes Mathematicae; 2013, 53, 2; 155-164
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł