A strongly extreme point need not be a denting point in Orlicz spaces equipped with the Orlicz norm

• Autorzy: Adam Bohonos , Ryszard Płuciennik
• Języki publikacji: EN

Abstrakty

EN

There are necessary conditions for a point x from the unit sphere to be a denting point of the unit ball of Orlicz spaces equipped with the Orlicz norm generated by arbitrary Orlicz functions. In contrast to results in [12, 17, 16], we present also examples of Orlicz spaces in which strongly extreme points of the unit ball are not denting points.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 46B42: Banach lattices

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 92
• Numer: 1
• Strony: 37-44

Daty

wydano

2011

Twórcy

autor

Adam Bohonos

• School of Mathematics, West Pomeranian University of Technology, Al. Piastów 48/49, 70-310 Szczecin, Poland

autor

Ryszard Płuciennik

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

Identyfikatory

DOI

10.4064/bc92-0-3