On the calculation of the James constant of Lorentz sequence spaces

被引：12
|
作者：
Mitani, Ken-Ichi [2 ]
Saito, Kichi-Suke [1 ]
Suzuki, Tomonari [3 ]
机构：
[1] Niigata Univ, Fac Sci, Dept Math, Niigata 9502181, Japan
[2] Niigata Inst Technol, Niigata 9451195, Japan
[3] Kyushu Inst Technol, Dept Math, Kitakyushu, Fukuoka 8048550, Japan
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 343卷 / 01期
基金：
日本学术振兴会;
关键词：
James constant; Lorentz sequence space; absolute norm;
D O I：
10.1016/j.jmaa.2008.01.033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In [M. Kato, L. Maligranda, On James and Jordan-von Neumann constants of Lorentz sequence spaces, J. Math. Anal. Appl. 258 (2001) 457-465], the James constant of the 2-dimensional Lorentz sequence space d((2)) (omega, q) is computed in the case where 2 <= q < infinity. It is an open problem to compute it in the case where 1 <= q < 2. In this paper, we completely determine the James constant of d((2)) (omega, q) in the case where 1 <= q < 2. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：310 / 314
页数：5
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