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Sharpened forms of an inequality of von neumann

✍ Scribed by Ky Fan

Book ID
105103166
Publisher
Springer-Verlag
Year
1987
Tongue
French
Weight
270 KB
Volume
194
Category
Article
ISSN
0025-5874

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An inequality between Jordan–von Neumann
An inequality between Jordan–von Neumann constant and James constant
✍ Changsen Yang; Haiying Li πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 356 KB

Let X be a non-trivial Banach space. L. Maligranda conjectured C NJ (X) ≀ 1 + J(X ) 2 /4 for James constant J(X ) and von Neumann-Jordan constant C NJ (X) for X . Recently, J. Alonso et al. gave a proof of it and conjectured that C NJ (X) ≀ J(X ) is also valid. In this paper, we show that this conje