Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

  • Absolute normalized norm
  • norming functional
  • smoothness

Suggested citation

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

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Published by Heldermann Verlag, 2003. Rights now held by Banach Press.