Convergence of non-cyclic infinite products of operators

DOI10.1016/j.jmaa.2011.02.030zbMath1360.47013OpenAlexW2029618593MaRDI QIDQ536280

Simeon Reich, Evgeniy Pustylnik, Zaslavski, Alexander J.

Publication date: 16 May 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.02.030

zbMATH Keywords

fixed pointHilbert spaceorthogonal projectioninfinite productnonexpansive operator

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (4)

A convergence result on random products of mappings in metric spaces ⋮ Convergence of non-periodic infinite products of orthogonal projections and nonexpansive operators in Hilbert space ⋮ Angle criteria for uniform convergence of averaged projections and cyclic or random products of projections ⋮ AN EXAMPLE CONCERNING BOUNDED LINEAR REGULARITY OF SUBSPACES IN HILBERT SPACE

Cites Work

• Slow convergence of sequences of linear operators. I: Almost arbitrarily slow convergence
• Slow convergence of sequences of linear operators. II: Arbitrarily slow convergence
• A generalization of the Friedrichs angle and the method of alternating projections
• An alternating projection that does not converge in norm
• Convergence theorems for sequences of nonlinear operators in Banach spaces
• On rings of operators. Reduction theory
• Unrestricted iterations of nonexpansive mappings in Hilbert space
• Best approximation in inner product spaces
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