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A quantitative
multiparameter mean ergodic theorem
Andrei Sipoş |
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Vol. 314 (2021), No. 1, 209–218
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Abstract |
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We use techniques of proof mining to obtain a computable and uniform rate of metastability (in the sense of Tao) for the mean ergodic theorem for a finite number of commuting linear contractive operators on a uniformly convex Banach space. |
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Keywords
proof mining, mean ergodic theorem, uniformly convex Banach
spaces, rate of metastability
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Mathematical Subject Classification
Primary: 03F10, 37A30, 47A35
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Milestones
Received: 26 April 2021
Revised: 27 July 2021
Accepted: 5 August 2021
Published: 15 October 2021
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Authors |
| Andrei Sipoş | |
| Research Center for Logic,
Optimization and Security Department of Computer Science University of Bucharest Bucharest Romania |
Simion Stoilow Institute of
Mathematics of the Romanian Academy Bucharest Romania |
