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

• Autorzy: Zhongrui Shi
• Języki publikacji: EN

Abstrakty

EN

In this paper,we give necessary and sufficient conditions in order that a point \(u\in S(l_{({\it \Phi})})\) 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

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2013
• Tom: 53
• Numer: 2

Daty

wydano

2013

online

2014-12-15

Twórcy

autor

Zhongrui Shi

Identyfikatory

DOI

10.14708/cm.v53i2.790