|
Journal of Convex Analysis 10 (2003), No. 1, 089--107 Copyright Heldermann Verlag 2003 Smoothness of Absolute Norms on Cn Ken-Ichi Mitani Dept. of Mathematics and Information Science, Grad. School of Science and Technology, Niigata University, Niigata 950-2181, Japan, mitani@toki.gs.niigata-u.ac.jp Kichi-Suke Saito Dept. of Mathematics, Faculty of Science, Niigata University, 950-2181, Japan, saito@math.sc.niigata-u.ac.jp Tomonari Suzuki Dept. of Mathematics and Information Science, Grad. School of Science and Technology, Niigata University, Niigata 950-2181, Japan, tomonari@math.sc.niigata-u.ac.jp We study norming functionals of absolute normalized norms on Cn. We also prove the characterization of smoothness of absolute normalized norms on Cn. Keywords: Absolute normalized norm, norming functional, smoothness. FullText-pdf (505 K) |