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On the James and von Neumann-Jordan constants in Banach spaces.

Source :
Proceedings of the American Mathematical Society. Oct2009, Vol. 138 Issue 2, p695-701. 7p.
Publication Year :
2009

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
138
Issue :
2
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
44864894
Full Text :
https://doi.org/10.1090/S0002-9939-09-10107-7