We study norming functionals of absolute normalized norms on Cn. We also prove the characterization of smoothness of absolute normalized norms on Cn.

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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

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

K.-I. Mitani, K.-S. Saito, T. Suzuki. “Smoothness of Absolute Norms on C^(n).” Journal of Convex Analysis 10 (2003), No. 1, 89–107.