A generalized projection decomposition in Orlicz-Bochner spaces

• Autorzy: Henryk Hudzik , Ryszard Płuciennik , Yuwen Wang
• Języki publikacji: EN

Abstrakty

EN

In this paper, a precise projection decomposition in reflexive, smooth and strictly convex Orlicz-Bochner spaces is given by the representation of the duality mapping. As an application, a representation of the metric projection operator on a closed hyperplane is presented.

Kategorie tematyczne

• 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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 68
• Numer: 1
• Strony: 61-70

Daty

wydano

2005

Twórcy

autor

Henryk Hudzik

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland

autor

Ryszard Płuciennik

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

autor

Yuwen Wang

• School of Mathematics and Computer Science, Harbin Normal University, Harbin 150080, P.R. China

Identyfikatory

DOI

10.4064/bc68-0-7