Full length article: Convergence of non-periodic infinite products of orthogonal projections and nonexpansive operators in Hilbert space

Authors:
Evgeniy Pustylnik;Simeon Reich;Alexander J. Zaslavski
Affiliations:
-;-;-
Venue:
Journal of Approximation Theory
Year:
2012

Citing 4
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Full length article: Infinite products of arbitrary operators and intersections of subspaces in Hilbert space

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Abstract

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.