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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.

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