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A mean ergodic theorem on vector spaces |
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| Authors: | Ping-Kwan Tam |
| Affiliation: | Department of Mathematics, Chinese University of Hong Kong, Shatin, New Territories, Hong Kong Department of Mathematics, Statistics and Computing Science Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5 |
| Abstract: | A mean ergodic theorem for a matrix is first proved from which a mean ergodic theorem for affine operators on a vector space without any topological structure is obtained. |
| Keywords: | Functionally bounded Mean ergodic theorem Fixed point Jordan canonical form Jordan cell Euclidean topology |
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