| Abstract: |
| The concept of an attractor was used by several mathematicians to characterize the asymptotic behavior of operators. In this talk we show that a positive operator sequence on a KB-space is mean ergodic if the operator sequence has a weakly compact attractor. Moreover if a weakly compact attractor is an order interval, then a positive operator sequence converges strongly onto the finite dimensional fixed space. As a consequence we investigate also stability of Markovian operator sequences and the existence of lower bound functions on KB-spaces. |
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