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Algebraic Separation and Shadowing of Arbitrary Sets

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Grzybowski J., Pallaschke D., Urbański R.

Commentationes Mathematicae

2013

tom 53

nr 2

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.

Ograniczanie wyników

1 Commentationes Mathematicae

1 Grzybowski J.

1 Pallaschke D.

1 Urbański R.

1 2013

Wyniki wyszukiwania

Algebraic Separation and Shadowing of Arbitrary Sets