Weak-sequential compactness on non-locally convex Orlicz spaces

• Autorzy: Nowak M.
• Języki publikacji: EN

Abstrakty

EN

Let [L^fi] be an Orlicz space defined by a finite valued Orlicz function [fi] (not necesarilly convex) over a [sigma]-finite atomless measure space. Let (L^fi[...] be the order continous dual of [L^fi]. It is proved that a subset Z of [L^fi] is conditionally sequentially sigma([L^fi],(L^fi])[...)-compact (i.e., every sequence in Z contains a sigma([L^[fi],(L^fi])[...])-Cauchy subsequence) if and only if Z is norm bounded in some Orlicz space [L^psi] where psi increases more rapidly than [...] (the convex minorant of fi).

Słowa kluczowe

EN

conditional sequential weak compactness; Orlicz functions; Orlicz spaces; sequential weak compactness; sequential weak completeness

PL

analiza funkcjonalna; funkcja Orlicza; przestrzeń Orlicza

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 1998
• Tom: Vol. 46, no 3
• Strony: 225--231
• Opis fizyczny: Bibliogr. 16 poz.,

Twórcy

autor

Nowak M.

• Institute of Mathematics, T. Kotarbiński Pedagogical University, Pl. Słowiański 9, 65-069 Zielona Góra, Poland