Algebraic Separation and Shadowing of Arbitrary Sets

• Autorzy: Jerzy Grzybowski , Diethard Pallaschke , Ryszard Urbański
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

separation, geometry of convex sets, Demyanov difference, data-classification

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2013
• Tom: 53
• Numer: 2

Daty

wydano

2013

online

2014-12-15

Twórcy

autor

Jerzy Grzybowski

autor

Diethard Pallaschke

autor

Ryszard Urbański

Identyfikatory

DOI

10.14708/cm.v53i2.781