En embedding theorem for unbounded convex sets in a Banach space

• Autorzy: Bielawski J. , Tabor J.
• Języki publikacji: EN

Abstrakty

EN

Let V be a closed convex cone and Cv be a space of nonempty closed convex subsets of a Banach space such that their Hausdorff distance form the cone V is finite. In this paper we embed the space Cv isometrically and isomorphically into a Banach space.

Słowa kluczowe

EN

abstract cone; embedding theorem

PL

stożek abstrakcyjny; twierdzenie o zanurzaniu

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2009
• Tom: Vol. 42, nr 4
• Strony: 703--709
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Bielawski J.

autor

Tabor J.

• Institute of Mathematics Jagiellonian University ul. Łojasiewicza 6 30-48 Kraków, Poland,

Bibliografia

• [1] L. Drewnowski, Additive and countably additive correspondences, Comm. Math. 19 (1976), 25-54.
• [2] J.H. Radstrom, An embedding theorem for space of convex sets, Proc. Amer. Math. Soc. 3 (1952), 165-169.
• [3] S. M. Robinson, An embedding theorem for unbounded convex sets. Technical Summary Report No. 1321, Mathematics Research Center, University of Wisconsin-Madison 1973.
• [4] W. Rudin, Functional Analysis, McGraw-Hill Book Comp., New York 1973.
• [5] R. Urbański, A generalization of the Minkowski-Rådström-Hörmander theorem, Bull. Polish Acad. Sci. 24 (1976), 709-715.