期刊论文详细信息
Journal of the Australian Mathematical Society | |
Monotonic norms in ordered Banach spaces | |
K. F. Ng1  | |
[1] C. K. Law | |
关键词: 46 A 40; 46 B 10; | |
DOI : 10.1017/S1446788700030123 | |
学科分类:数学(综合) | |
来源: Cambridge University Press | |
【 摘 要 】
Let B be an ordered Banach space with ordered Banach dual space. Let N denote the canonical half-norm. We give an alternative proof of the following theorem of Robinson and Yamamuro: the norm on B is α-monotone (α ≥ 1) if and only if for each f in B* there exists g ∈ B* with g ≥ 0, f and ∥g∥ ≤ α N(f). We also establish a dual result characterizing α-monotonicity of B*.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912040544018ZK.pdf | 125KB | download |