Convergence of non-periodic infinite products of orthogonal projections and nonexpansive operators in Hilbert space |
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| Authors: | Evgeniy Pustylnik Simeon Reich Alexander J Zaslavski |
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| Institution: | Department of Mathematics, The Technion–Israel Institute of Technology, 32000 Haifa, Israel |
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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. |
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