Uniformly ž-Continuous Topologies on Orlicz-Bochner Spaces

• Autorzy: Feledziak K.
• Języki publikacji: EN

Abstrakty

EN

We examine the topological properties of Orlicz-Bochner spaces L^[fi](X) (over a -finite measure space [...], where ' is an Orlicz function (not necessarily convex) and X is a real Banach space. We continue the study of some class of locally convex topologies on L^[fi](X), called uniformly ž-continuous topologies. In particular, the generalized mixed topology [...] (in the sense of Turpin) is considered.

Słowa kluczowe

EN

Orlicz space; Orlicz-Bochner spaces; locally solid topologies; generalized mixed topologies; uniformly fi-summable sets; uniformly fi-integrable sets

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2006
• Tom: Vol. 46, [Z] 1
• Strony: 93--111
• Opis fizyczny: bibliogr. 15 poz.

Twórcy

autor

Feledziak K.

• Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra Szafrana 4A, 65–516 Zielona Góra, Poland,

Bibliografia

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