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On the James and von Neumann-Jordan constants in Banach spaces
Author(s):
Fenghui
Wang
Journal:
Proc. Amer. Math. Soc.
138
(2010),
695-701.
MSC (2000):
Primary 46B20
Posted:
October 7, 2009
MathSciNet review:
2557186
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Additional information
Abstract:
Recently Alonso, Martín and Papini conjectured that the value of the von Neumann-Jordan constant is less than or equal to that of the James constant. This paper presents an affirmative answer to such a conjecture. Moreover, we obtain a sharp estimate for the von Neumann-Jordan constant.
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Additional Information:
Fenghui
Wang
Affiliation:
Department of Mathematics, Luoyang Normal University, Luoyang 471022, People's Republic of China
Email:
wfenghui@gmail.com
DOI:
10.1090/S0002-9939-09-10107-7
PII:
S 0002-9939(09)10107-7
Keywords:
Modulus of convexity,
James constant,
Neumann-Jordan constant
Received by editor(s):
February 28, 2009,
Received by editor(s) in revised form:
July 1, 2009
Posted:
October 7, 2009
Additional Notes:
This work was supported by the Natural Science Foundation of the Department of Education, Henan (2008A110012), development programs in science and technology of Henan Province (092300410187), and the Youth Foundation of Luoyang Normal University (2008-QNJJ-011).
Communicated by:
Nigel J. Kalton
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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