We study norming functionals of absolute normalized norms on Cn\mathbb{C}^n. We also prove the characterization of smoothness of absolute normalized norms on Cn\mathbb{C}^n.

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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
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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. https://doi.org/10.68381/jca1004