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2010-12-21 Seminar

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> **Application of the $$B(X)$$ cone to theory of multifunctions**
> We will discuss extension property for multifunctions. The Radström-Hörmander embedding theorem, which states that the $$B(X)$$ cone consisting of all non-empty, closed, bounded and convex subset of a normed space $$X$$ can be isometrically and algebraically embedded as a convex cone in a Banach space, plays a key role in the proofs of the presented results. The talk is based on the paper //Applications of the Radström-Hörmander Embedding Theorem to Multifunctions//, Bull. Acad. Pol. Sci. Math. **53** (3) (2005), 259-271 by Anna Kucia.


Piotr Kasprzak
Application of the $$ B(X) $$ cone to theory of multifunctions

We will discuss extension property for multifunctions. The Radström-Hörmander embedding theorem, which states that the $$ B(X) $$ cone consisting of all non-empty, closed, bounded and convex subset of a normed space $$ X $$ can be isometrically and algebraically embedded as a convex cone in a Banach space, plays a key role in the proofs of the presented results. The talk is based on the paper Applications of the Radström-Hörmander Embedding Theorem to Multifunctions, Bull. Acad. Pol. Sci. Math. 53 (3) (2005), 259-271 by Anna Kucia.

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