K-extreme point of generalized Orlicz sequence spaces with Luxemburg norm

• Autorzy: Shi, Z. , Wang, X.
• Języki publikacji: EN

Abstrakty

EN

In this paper,we give necessary and sufficient conditions in order that a point u∈S(l_(Φ)) is a k-extreme point in generalized Orlicz sequence spaces equipped with the Luxemburg norm, combing the methods used in classical Orlicz spaces and new methods introduced especially for generalized ones. The results indicate the difference between the classical Orlicz spaces and generalized Orlicz spaces.

Słowa kluczowe

EN

Orlicz function; k-extreme point; linear dependence; Luxemburg norm

• Czasopismo: Commentationes Mathematicae
• Rocznik: 2013
• Tom: Vol. 53, No. 2
• Strony: 147--162
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Shi, Z.

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

autor

Wang, X.

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

Bibliografia

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Identyfikatory

DOI

10.14708/cm.v53i2.790