On Property β of Rolewicz in Köthe-Bochner Function Spaces

• Autorzy: Paweł Kolwicz
• Języki publikacji: EN

Abstrakty

EN

It is proved that the Köthe-Bochner function space E(X) has property β if and only if X is uniformly convex and E has property β. In particular, property β does not lift from X to E(X) in contrast to the case of Köthe-Bochner sequence spaces.

Kategorie tematyczne

• 46E40: Spaces of vector- and operator-valued functions
• 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: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2005
• Tom: 53
• Numer: 1
• Strony: 75-85

Daty

wydano

2005

Twórcy

autor

Paweł Kolwicz

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

Identyfikatory

DOI

10.4064/ba53-1-7