Quasi-reflexive Fréchet spaces and mean ergodicity |
| |
| Authors: | Krzysztof Piszczek |
| |
| Institution: | Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Poznań, ul. Umultowska 87, 61-614 Poznań, Poland |
| |
| Abstract: | We characterize quasi-reflexive Fréchet spaces with a basis in terms of the properties of this basis. As a consequence we prove that a Fréchet space with a basis is quasi-reflexive of order one if and only if for every power bounded operator T, either T or T′ is mean ergodic. |
| |
| Keywords: | Fré chet space Schauder basis Mean ergodic operator Power bounded operator |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
