Open access

Smoothness of Absolute Norms on ℂ n

Ken-Ichi Mitani Kichi-Suke Saito Tomonari Suzuki

2003 · Journal of Convex Analysis · 0 citations · 3 references

Abstract

<jats:p> We study norming functionals of absolute normalized norms on <jats:inline-formula> <jats:alternatives> <jats:tex-math notation="LaTeX">\mathbb{C}^n</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mi mathvariant="double-struck">C</mml:mi> <mml:mi>n</mml:mi> </mml:msup> </mml:mrow> </mml:math> </jats:alternatives> </jats:inline-formula> . We also prove the characterization of smoothness of absolute normalized norms on <jats:inline-formula> <jats:alternatives> <jats:tex-math notation="LaTeX">\mathbb{C}^n</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mi mathvariant="double-struck">C</mml:mi> <mml:mi>n</mml:mi> </mml:msup> </mml:mrow> </mml:math> </jats:alternatives> </jats:inline-formula> . </jats:p>

DOI Semantic Scholar

Read PDF