On some properties for dual spaces of Musielak-Orlicz function spaces

• Autorzy: Zenon Zbąszyniak
• Języki publikacji: EN

Abstrakty

EN

We will present relationships between the modular ρ* and the norm in the dual spaces $(L_{Φ})*$ in the case when a Musielak-Orlicz space $L_{Φ}$ is equipped with the Orlicz norm. Moreover, criteria for extreme points of the unit sphere of the dual space $(L⁰_{Φ})*$ will be presented.

Kategorie tematyczne

• 46A40: Ordered topological linear spaces, vector lattices
• 46A80: Modular spaces
• 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
• 46B04: Isometric theory of Banach spaces
• 46B25: Classical Banach spaces in the general theory
• 46B40: Ordered normed spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 92
• Numer: 1
• Strony: 413-418

Daty

wydano

2011

Twórcy

autor

Zenon Zbąszyniak

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

Identyfikatory

DOI

10.4064/bc92-0-29