Convergence of non-periodic infinite products of orthogonal projections and nonexpansive operators in Hilbert space

JOURNAL OF APPROXIMATION THEORY

卷:164

Article

Pustylnik, Evgeniy¹  Reich, Simeon¹  Zaslavski, Alexander J.¹ 

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

关键词: Fixed point;    Hilbert space;    Inclination;    Infinite product;    Nonexpansive operator;    Orthogonal projection;   

DOI  :  10.1016/j.jat.2012.01.001

来源: Elsevier

【 摘 要 】

We provide sufficient conditions for strong and uniform (on bounded subsets of initial points) convergence of infinite products of orthogonal projections and other (possibly nonlinear) nonexpansive operators in a Hilbert space. Our main tools are new estimates of the inclination of a finite tuple of closed linear subspaces. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free