Full paper in PDF:
$%R. Pluciennik and Y. Wang, Metric projections and best approximants in Bochner-Orlicz spaces,
Rev. Mat. Univ. Complut. Madrid 7 (1994), no. 1, 57–77.%$
Departamento da Matemática Universidade da Beira Interior Rua Marqués d’Avila e Bolama 6200 Covilha — Portugal | Department of Mathematics Harbin Normal University Hexing Road Harbin — China |
In the first section of this paper there are given criteria for strict convexity and smoothness of the Bochner-Orlicz space with the Orlicz norm as well as the Luxemburg norm. In the second one that geometrical properties are applied to the characterization of metric projections and zero mean valued best approximants to Bochner-Orlicz spaces.
1991 Mathematics Subject Classification: 46E30, 41A50, 60G25.