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The von Neumann-Jordan constant, weak orthogonality and normal structure in Banach spaces
Author(s):
Antonio
Jiménez-Melado;
Enrique
Llorens-Fuster;
Satit
Saejung
Journal:
Proc. Amer. Math. Soc.
134
(2006),
355-364.
MSC (2000):
Primary 46B20
Posted:
September 21, 2005
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Abstract:
We give some sufficient conditions for normal structure in terms of the von Neumann-Jordan constant, the James constant and the weak orthogonality coefficient introduced by B. Sims. In the rest of the paper, the von Neumann-Jordan constant and the James constant for the Bynum space  are computed, and are used to show that our results are sharp.
References:
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Additional Information:
Antonio
Jiménez-Melado
Affiliation:
Departamento de Análisis Matemático, Universidad de Málaga, Facultad de Ciencias, 29071 Málaga, Spain
Email:
melado@uma.es
Enrique
Llorens-Fuster
Affiliation:
Departamento de Análisis Matemático, Facultad de Matemáticas, 46100 Burjassot, Valencia, Spain
Email:
enrique.llorens@uv.es
Satit
Saejung
Affiliation:
Department of Mathematics, Khon Kaen University, Khon Kaen, 40002, Thailand
Email:
satitz@yahoo.com
DOI:
10.1090/S0002-9939-05-08362-0
PII:
S 0002-9939(05)08362-0
Keywords:
von Neumann-Jordan constant,
James constant,
normal structure
Received by editor(s):
January 23, 2004
Posted:
September 21, 2005
Communicated by:
Jonathan M. Borwein
Copyright of article:
Copyright
2005,
American Mathematical Society
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