Property (\(K\)) of Orlicz-Bochner sequence spaces. (Chinese. English summary) Zbl 1438.46019
Summary: In this paper, we investigate the property (\(K\)) of Orlicz-Bochner sequence spaces. Analyzing and combining the generating function \(M\) and properties of the Orlicz-Bochner sequence spaces, when the Banach space \(X\) has the Schur property, we get the sufficient and necessary condition of the property (\(K\)) of Orlicz-Bochner sequence spaces, and then we get a sufficient condition of Orlicz-Bochner sequence spaces with the weak fixed point property.
MSC:
46B20 | Geometry and structure of normed linear spaces |
46B45 | Banach sequence spaces |
46E40 | Spaces of vector- and operator-valued functions |