The isometries of Hp(K)

Journal of the Australian Mathematical Society

Pei-Kee Lin¹ 

关键词: 46 E 15;    46 E 30;   

DOI  :  10.1017/S1446788700032523

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Let 1 ≤ p < ∞, p ≠ 2 and let K be any complex Hilbert space. We prove that every isometry T of Hp(K) onto itself is of the form , where U ia a unitary operator on K and φ is a conformal map of the unit disc onto itself.

【 授权许可】

Unknown