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2013 Characterization of Regular Norms of $\mathbb{R}^n$
Ryotaro Tanaka, Kiche-Suke Saito
Nihonkai Math. J. 24(2): 103-120 (2013).

Abstract

In this paper, we study regular norms on $\mathbb{R}^n$. It is shown that the class of regular norms is a natural generalization of that of generalized Day-James type norms. Furthermore, using absolute norms, we give some characterizations of regular norms.

Citation

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Ryotaro Tanaka. Kiche-Suke Saito. "Characterization of Regular Norms of $\mathbb{R}^n$." Nihonkai Math. J. 24 (2) 103 - 120, 2013.

Information

Published: 2013
First available in Project Euclid: 24 February 2014

zbMATH: 1296.46016
MathSciNet: MR3178502

Subjects:
Primary: 46B20

Keywords: ‎absolute normalized norm , generalized Day-James space , regular norm

Rights: Copyright © 2013 Niigata University, Department of Mathematics

Vol.24 • No. 2 • 2013
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