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
✦ LIBER ✦
On James and Jordan–von Neumann Constants of Lorentz Sequence Spaces
✍ Scribed by Mikio Kato; Lech Maligranda
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 88 KB
- Volume
- 258
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
The nonsquare or James constant J X and the Jordan-von Neumann constant C NJ X are computed for two-dimensional Lorentz sequence spaces d 2 w q in the case where 2 ≤ q < ∞. The Jordan-von Neumann constant is also calculated in the case where 1 ≤ q < 2.
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