Full paper in PDF:
$%R. Pluciennik and Y. Wang, Metric projections and best approximants in Bochner-Orlicz spaces, Rev. Mat. Univ. Complut. Madrid 7 (1994), no. 1, 5777.%$

Metric Projections and Best Approximants in Bochner-Orlicz Spaces
Ryszard PLUCIENNIK and Yuwen WANG
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

Received: March 12, 1992
Revised: September 22, 1993

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.