On property (B) in Musielak-Orlicz sequence spaces of Bochner type

• Autorzy: Kolwicz P.
• Języki publikacji: EN

Abstrakty

EN

It is proved that the Musielak-Orlicz sequence space of Bochner type l_f(X) has property (B) if and only if both spaces lip and X have it also. It is considered the case of Luxemburg and Orlicz norm as well. In particular, the Lebesgue-Bochner sequence space l_p(X) has property (B) iff X has property (B)). As a corollary we also conclude that in Musielak-Orlicz sequence spaces equipped with the Luxemburg (Orlicz) norm property (B), nearly uniform convexity, drop property and reflexivity are in pairs equivalent. Such a theorem was proved directly in [4] in the case of Orlicz sequence space.

Słowa kluczowe

EN

property (B); Bochner space; Musielak-Orlicz space; Orlicz and Luxemburg norm

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2000
• Tom: [Z] 40
• Strony: 103--126
• Opis fizyczny: bibliogr. 21 poz.

Twórcy

autor

Kolwicz P.

• ul. Piotrowo 3a 60-965 Poznań, Poland,