Sublinear Functionals and Weak - compatness

• Autorzy: Ger R.
• Konferencja: Proceedings of the IX Conference "Applications of algebra" (9 ; 07-13.03.2005 ; Zakopane, Poland)
• Języki publikacji: EN

Abstrakty

EN

Let X be a real locally convex linear topological space. A functional f : X → lR is called sublinear provided that f is subadditive and f(nx) = nf(x),x ∈ X,n ∈ IN. We establish a one-to-one correspondence between the collectron of all sublinear functional satisfying some mild regularity conditions and the family of all nonempty convex and weakly"- compact subsets of the dual space X*.

Słowa kluczowe

EN

sublinear function; Banach algebra

PL

funkcja podliniowa; algebra Banacha

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2005
• Tom: Vol. 10
• Strony: 67--76
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Ger R.

• Institute of Mathematics and Computer Science Jan Długosz University of Częstochowa, al. Armii Krajowej 13/15, 42-200 Częstochowa, Poland

Bibliografia

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