Generalized centers and characterizations of inner product spaces

Hiroshi Endo; Ryotaro Tanaka

doi:nihmj/1505419739

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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.

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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

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Nihonkai Math. J.

Vol.27 • No. 1-2 • 2016

Niigata University, Department of Mathematics

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