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Imbedding of the images of operators and reflexivity of Banach spaces

✍ Scribed by R. V. Vershinin


Book ID
110545721
Publisher
Springer
Year
1999
Tongue
English
Weight
141 KB
Volume
51
Category
Article
ISSN
0041-5995

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Ergodic Characterizations of Reflexivity
✍ Vladimir P. Fonf; Michael Lin; Przemyslaw Wojtaszczyk πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 308 KB

Let X be a Banach space with a basis. We prove the following characterizations: (i) X is finite-dimensional if and only if every power-bounded operator is uniformly ergodic. (ii) X is reflexive if and only if every power-bounded operator is mean ergodic. (iii) X is quasi-reflexive of order one if