Monotonic norms in ordered Banach spaces

Journal of the Australian Mathematical Society

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