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2016 Generalized centers and characterizations of inner product spaces
Hiroshi Endo, Ryotaro Tanaka
Nihonkai Math. J. 27(1-2): 29-40 (2016).

Abstract

In this paper, we present new Garkavi-Klee type characterizations of inner product spaces using the notion of generalized centers of three points sets introduced by using absolute normalized norms.

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Hiroshi Endo. Ryotaro Tanaka. "Generalized centers and characterizations of inner product spaces." Nihonkai Math. J. 27 (1-2) 29 - 40, 2016.

Information

Received: 15 December 2015; Revised: 27 April 2016; Published: 2016
First available in Project Euclid: 14 September 2017

zbMATH: 06820445
MathSciNet: MR3698239

Subjects:
Primary: 46C15
Secondary: 46B20

Keywords: ‎absolute norm , Chebyshev center , Felmat center , ‎inner product space

Rights: Copyright © 2016 Niigata University, Department of Mathematics

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Vol.27 • No. 1-2 • 2016
Niigata University, Department of Mathematics
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