The generalized von Neumann-Jordan constant and normal structure in Banach spaces

Xi Wang; Yunan Cui; Chiping Zhang

doi:10.15352/afa/06-4-206

The generalized von Neumann-Jordan constant and normal structure in Banach spaces

Xi Wang^*
, Yunan Cui
, Chiping Zhang

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology
Harbin University of Science and Technology

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

Recently, a new geometric constant called generalized von Neumann-Jordan constant was introduced. In this paper, the relationships between above constant and generalized García-Falset coefficient are given. In terms of this constant, the lower bounds for the weakly convergent sequence coefficient of a Banach space X are also shown. Moreover, some sufficient conditions which imply normal structure and uniform normal structure are presented.

Original language	English
Pages (from-to)	206-214
Number of pages	9
Journal	Annals of Functional Analysis
Volume	6
Issue number	4
DOIs	https://doi.org/10.15352/afa/06-4-206
State	Published - 2015

Keywords

Fixed point property
Generalized García-Falset coefficient
Generalized von Neumann-Jordan constant
Normal structure
Weakly convergent sequence coefficient

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10.15352/afa/06-4-206

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abstract = "Recently, a new geometric constant called generalized von Neumann-Jordan constant was introduced. In this paper, the relationships between above constant and generalized Garc{\'i}a-Falset coefficient are given. In terms of this constant, the lower bounds for the weakly convergent sequence coefficient of a Banach space X are also shown. Moreover, some sufficient conditions which imply normal structure and uniform normal structure are presented.",

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AU - Cui, Yunan

AU - Zhang, Chiping

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AB - Recently, a new geometric constant called generalized von Neumann-Jordan constant was introduced. In this paper, the relationships between above constant and generalized García-Falset coefficient are given. In terms of this constant, the lower bounds for the weakly convergent sequence coefficient of a Banach space X are also shown. Moreover, some sufficient conditions which imply normal structure and uniform normal structure are presented.

KW - Fixed point property

KW - Generalized García-Falset coefficient

KW - Generalized von Neumann-Jordan constant

KW - Normal structure

KW - Weakly convergent sequence coefficient

UR - https://www.scopus.com/pages/publications/84946414021

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DO - 10.15352/afa/06-4-206

M3 - 文章

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SP - 206

EP - 214

JO - Annals of Functional Analysis

JF - Annals of Functional Analysis

IS - 4

ER -

The generalized von Neumann-Jordan constant and normal structure in Banach spaces

Abstract

Keywords

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