Orlicz sequence spaces that are uniformly rotund in a weakly compact set of directions

• Autorzy: Zhongrui Shi , YuanDi Wang , Ge Dong
• Języki publikacji: EN

Abstrakty

EN

Necessary and sufficient conditions are given for Orlicz sequence spaces equipped with the Orlicz norm to be uniformly rotund in a weakly compact set of directions, using only conditions on the generating function of the space.

Kategorie tematyczne

• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 46B20: Geometry and structure of normed linear spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2007
• Tom: 107
• Numer: 1
• Strony: 21-34

Daty

wydano

2007

Twórcy

autor

Zhongrui Shi

• Department of Mathematics, ShangHai University, ShangHai 200444, P.R. China

autor

YuanDi Wang

• Department of Mathematics, ShangHai University, ShangHai 200444, P.R. China

autor

Ge Dong

• Department of Mathematics, ShangHai University, ShangHai 200444, P.R. China

Identyfikatory

DOI

10.4064/cm107-1-4