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
A Cone Characterization of Reflexive Banach Spaces
โ Scribed by Jing Hui Qiu
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 63 KB
- Volume
- 256
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
Here Z denotes the dual of Z, and โณ# denotes the polar of โณ taken in Z.
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