On property (β) of Rolewicz in Musielak-Orlicz sequence spaces equipped with the Orlicz norm

• Autorzy: Paweł Kolwicz
• Języki publikacji: EN

Abstrakty

EN

We prove that the Musielak-Orlicz sequence space with the Orlicz norm has property (β) iff it is reflexive. It is a generalization and essential extension of the respective results from [3] and [5]. Moreover, taking an arbitrary Musielak-Orlicz function instead of an N-function we develop new methods and techniques of proof and we consider a wider class of spaces than in [3] and [5].

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46A45: Sequence spaces (including K\"othe sequence spaces)
• 46B45: Banach sequence spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 68
• Numer: 1
• Strony: 79-86

Daty

wydano

2005

Twórcy

autor

Paweł Kolwicz

• Institute of Mathematics, Poznań University of Technology, Piotrowo 3a, 60-965 Poznań, Poland

Identyfikatory

DOI

10.4064/bc68-0-9