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2 Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

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Some Convexity properties in Musielak-Orlicz sequencespaces endowed with the Luxemburg Norm

Saejung S.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2005

Vol. 45, [Z] 1

75--90

Criteria for $k$-strict convexity, uniform convexity in everydirection, property K, property H, and property G inMusielak-Orlicz sequence spaces and their subspaces endowed withthe Luxemburg norm are presented. In particular, we obtain acharacterization of such properties of Nakano sequencespaces.

On some local geometry of Musielak-Orlicz sequence spaces

Dhompongsa S., Saejung S.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2003

[Z] 43(1)

43-62

Criteria for strong U-points, LUR-points, WLUR-points, CLUR-points and WCLUR-points in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm are given.