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2011 The Monotonicity of Absolute Normalized Norms on $\mathbb{C}^n$
Naoto Komuro, Ken-Ichi Mitani, Kichi-Suke Saito
Nihonkai Math. J. 22(2): 91-102 (2011).

Abstract

In this paper, we characterize some monotonicity property of absolute normalized norms on $\mathbb{C}^n$ (resp. $\mathbb{R}^n$) by means of their corresponding continuous convex functions.

Citation

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Naoto Komuro. Ken-Ichi Mitani. Kichi-Suke Saito. "The Monotonicity of Absolute Normalized Norms on $\mathbb{C}^n$." Nihonkai Math. J. 22 (2) 91 - 102, 2011.

Information

Published: 2011
First available in Project Euclid: 14 June 2012

zbMATH: 1250.46013
MathSciNet: MR2952820

Subjects:
Primary: 46B20
Secondary: 46B25

Keywords: ‎absolute normalized norm , ‎modulus of‎ ‎convexity , Monotonicity

Rights: Copyright © 2011 Niigata University, Department of Mathematics

Vol.22 • No. 2 • 2011
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